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10101021012020 = 2252935949198801
BaseRepresentation
bin1001001011111101001111…
…0001001111000000110100
31022202122111112002101021002
42102333103301033000310
52310443342334341040
633252202303542432
72061526500646241
oct222772361170064
938678445071232
1010101021012020
113244901034604
12117178b5baa18
135836a3351093
1426cc6ba0a5c8
15127b3db0ea15
hex92fd3c4f034

10101021012020 has 96 divisors (see below), whose sum is σ = 22049760902400. Its totient is φ = 3882255104000.

The previous prime is 10101021012011. The next prime is 10101021012029. The reversal of 10101021012020 is 2021012010101.

10101021012020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10101021012011) and next prime (10101021012029).

It is a junction number, because it is equal to n+sod(n) for n = 10101021011992 and 10101021012010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101021012029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102186620 + ... + 102285420.

It is an arithmetic number, because the mean of its divisors is an integer number (229685009400).

Almost surely, 210101021012020 is an apocalyptic number.

10101021012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10101021012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11024880451200).

10101021012020 is an abundant number, since it is smaller than the sum of its proper divisors (11948739890380).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10101021012020 is a wasteful number, since it uses less digits than its factorization.

10101021012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99689 (or 99687 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10101021012020 its reverse (2021012010101), we get a palindrome (12122033022121).

The spelling of 10101021012020 in words is "ten trillion, one hundred one billion, twenty-one million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 359 491 580 718 982 1436 1795 1964 2455 3590 4910 7180 9820 10411 14239 20822 28478 41644 52055 56956 71195 98801 104110 142390 176269 197602 208220 284780 352538 395204 494005 705076 881345 988010 1762690 1976020 2865229 3525380 5111801 5730458 10223602 11460916 14326145 20447204 25559005 28652290 35469559 48511291 51118010 57304580 70939118 97022582 102236020 141878236 177347795 194045164 242556455 354695590 485112910 709391180 970225820 1028617211 1406827439 2057234422 2813654878 4114468844 5143086055 5627309756 7034137195 10286172110 14068274390 17415553469 20572344220 28136548780 34831106938 69662213876 87077767345 174155534690 348311069380 505051050601 1010102101202 2020204202404 2525255253005 5050510506010 10101021012020