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10101002220020 = 22529691132119079
BaseRepresentation
bin1001001011111101001010…
…1001100011000111110100
31022202122110012201122111002
42102333102221203013310
52310443323032020040
633252200353102432
72061526152141125
oct222772251430764
938678405648432
1010101002220020
1132448a1469928
121171785257a18
1358369c4a175a
1426cc6931804c
15127b3c14ba15
hex92fd2a631f4

10101002220020 has 96 divisors (see below), whose sum is σ = 21993100819200. Its totient is φ = 3892278297600.

The previous prime is 10101002220019. The next prime is 10101002220109. The reversal of 10101002220020 is 2002220010101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10101002219983 and 10101002220010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 529420841 + ... + 529439919.

It is an arithmetic number, because the mean of its divisors is an integer number (229094800200).

Almost surely, 210101002220020 is an apocalyptic number.

10101002220020 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 10101002220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10996550409600).

10101002220020 is an abundant number, since it is smaller than the sum of its proper divisors (11892098599180).

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

10101002220020 is a wasteful number, since it uses less digits than its factorization.

10101002220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21129 (or 21127 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10101002220020 its reverse (2002220010101), we get a palindrome (12103222230121).

The spelling of 10101002220020 in words is "ten trillion, one hundred one billion, two million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 691 1321 1382 2642 2764 3455 5284 6605 6910 13210 13820 19079 20039 26420 38158 38309 40078 76316 76618 80156 95395 100195 153236 190790 191545 200390 381580 383090 400780 553291 766180 912811 1106582 1825622 2213164 2766455 3651244 4564055 5532910 9128110 11065820 13183589 18256220 25203359 26367178 26471519 50406718 52734356 52943038 65917945 100813436 105886076 126016795 131835890 132357595 252033590 263671780 264715190 382324081 504067180 529430380 730897411 764648162 1461794822 1529296324 1911620405 2923589644 3654487055 3823240810 7308974110 7646481620 14617948220 17415521069 34831042138 69662084276 87077605345 174155210690 348310421380 505050111001 1010100222002 2020200444004 2525250555005 5050501110010 10101002220020