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100201210021212 = 22316750000603803
BaseRepresentation
bin10110110010000111101001…
…100001111000010101011100
3111010210010211121110122211120
4112302013221201320111130
5101113144034231134322
6553035444515450540
730051204252123006
oct2662075141702534
9433703747418746
10100201210021212
1129a221048a9203
12b2a37ba5b6a50
1343bac1a0579b1
141aa5a9b8b1376
15b8b6e40ada5c
hex5b21e987855c

100201210021212 has 24 divisors (see below), whose sum is σ = 235202840294016. Its totient is φ = 33200400924528.

The previous prime is 100201210021189. The next prime is 100201210021249. The reversal of 100201210021212 is 212120012102001.

It is a super-2 number, since 2×1002012100212122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100201210021191 and 100201210021200.

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 7 ways as a sum of consecutive naturals, for example, 25000299898 + ... + 25000303905.

It is an arithmetic number, because the mean of its divisors is an integer number (9800118345584).

Almost surely, 2100201210021212 is an apocalyptic number.

100201210021212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100201210021212 is an abundant number, since it is smaller than the sum of its proper divisors (135001630272804).

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

100201210021212 is a wasteful number, since it uses less digits than its factorization.

100201210021212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50000603977 (or 50000603975 counting only the distinct ones).

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

Adding to 100201210021212 its reverse (212120012102001), we get a palindrome (312321222123213).

The spelling of 100201210021212 in words is "one hundred trillion, two hundred one billion, two hundred ten million, twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 167 334 501 668 1002 2004 50000603803 100001207606 150001811409 200002415212 300003622818 600007245636 8350100835101 16700201670202 25050302505303 33400403340404 50100605010606 100201210021212