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100121220121212 = 22323946317047457
BaseRepresentation
bin10110110000111101001001…
…110000101000001001111100
3111010111111100222100201102200
4112300331021300220021330
5101110341224322334322
6552535015322351500
730042343112155323
oct2660751160501174
9433444328321380
10100121220121212
11299a1197670434
12b2901b605b590
1343b351004b114
141aa1c702050ba
15b895b19378ac
hex5b0f49c2827c

100121220121212 has 36 divisors (see below), whose sum is σ = 253084872536496. Its totient is φ = 33373650735360.

The previous prime is 100121220121199. The next prime is 100121220121229. The reversal of 100121220121212 is 212121022121001.

100121220121212 is a `hidden beast` number, since 100 + 1 + 212 + 20 + 121 + 212 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10682988 + ... + 17730444.

It is an arithmetic number, because the mean of its divisors is an integer number (7030135348236).

Almost surely, 2100121220121212 is an apocalyptic number.

100121220121212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100121220121212 is an abundant number, since it is smaller than the sum of its proper divisors (152963652415284).

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

100121220121212 is a wasteful number, since it uses less digits than its factorization.

100121220121212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7442098 (or 7442093 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100121220121212 its reverse (212121022121001), we get a palindrome (312242242242213).

The spelling of 100121220121212 in words is "one hundred trillion, one hundred twenty-one billion, two hundred twenty million, one hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 394631 789262 1183893 1578524 2367786 3551679 4735572 7047457 7103358 14094914 14206716 21142371 28189828 42284742 63427113 84569484 126854226 253708452 2781145003367 5562290006734 8343435010101 11124580013468 16686870020202 25030305030303 33373740040404 50060610060606 100121220121212