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10101122200020 = 22356591109230357
BaseRepresentation
bin1001001011111101100111…
…0011001111000111010100
31022202122202120111021002210
42102333121303033013110
52310444044240400040
633252220320433420
72061532140020055
oct222773163170724
938678676437083
1010101122200020
113244953167655
1211717b9478870
135836bb2bc537
1426cc7b22a72c
15127b4794b480
hex92fd9ccf1d4

10101122200020 has 96 divisors (see below), whose sum is σ = 28351725494400. Its totient is φ = 2687108268544.

The previous prime is 10101122199983. The next prime is 10101122200069. The reversal of 10101122200020 is 2000222110101.

It is a super-3 number, since 3×101011222000203 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10101122199969 and 10101122200005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43734682 + ... + 43965038.

It is an arithmetic number, because the mean of its divisors is an integer number (295330473900).

Almost surely, 210101122200020 is an apocalyptic number.

10101122200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101122200020 is an abundant number, since it is smaller than the sum of its proper divisors (18250603294380).

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

10101122200020 is a wasteful number, since it uses less digits than its factorization.

10101122200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232137 (or 232135 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10101122200020 its reverse (2000222110101), we get a palindrome (12101344310121).

The spelling of 10101122200020 in words is "ten trillion, one hundred one billion, one hundred twenty-two million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 659 1109 1318 1977 2218 2636 3295 3327 3954 4436 5545 6590 6654 7908 9885 11090 13180 13308 16635 19770 22180 33270 39540 66540 230357 460714 691071 730831 921428 1151785 1382142 1461662 2192493 2303570 2764284 2923324 3455355 3654155 4384986 4607140 6910710 7308310 8769972 10962465 13821420 14616620 21924930 43849860 151805263 255465913 303610526 455415789 510931826 607221052 759026315 766397739 910831578 1021863652 1277329565 1518052630 1532795478 1821663156 2277078945 2554659130 3036105260 3065590956 3831988695 4554157890 5109318260 7663977390 9108315780 15327954780 168352036667 336704073334 505056110001 673408146668 841760183335 1010112220002 1683520366670 2020224440004 2525280550005 3367040733340 5050561100010 10101122200020