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100201201221012 = 22343319284295847
BaseRepresentation
bin10110110010000111101001…
…000000010011110110010100
3111010210010210222220120020020
4112302013221000103312110
5101113144030003033022
6553035444003105140
730051204114251313
oct2662075100236624
9433703728816206
10100201201221012
1129a220aa938511
12b2a37b76721b0
1343bac18296288
141aa5a9a66027a
15b8b6e342135c
hex5b21e9013d94

100201201221012 has 24 divisors (see below), whose sum is σ = 234342763144896. Its totient is φ = 33323263221888.

The previous prime is 100201201220963. The next prime is 100201201221031. The reversal of 100201201221012 is 210122102102001.

It is a super-2 number, since 2×1002012012210122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100201201220982 and 100201201221000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9642142728 + ... + 9642153119.

It is an arithmetic number, because the mean of its divisors is an integer number (9764281797704).

Almost surely, 2100201201221012 is an apocalyptic number.

100201201221012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100201201221012 is an abundant number, since it is smaller than the sum of its proper divisors (134141561923884).

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

100201201221012 is a wasteful number, since it uses less digits than its factorization.

100201201221012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19284296287 (or 19284296285 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100201201221012 its reverse (210122102102001), we get a palindrome (310323303323013).

The spelling of 100201201221012 in words is "one hundred trillion, two hundred one billion, two hundred one million, two hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 433 866 1299 1732 2598 5196 19284295847 38568591694 57852887541 77137183388 115705775082 231411550164 8350100101751 16700200203502 25050300305253 33400400407004 50100600610506 100201201221012