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100122022102212 = 223211252833389147
BaseRepresentation
bin10110110000111101111001…
…100011111100010011000100
3111010111120102212102120112200
4112300331321203330103010
5101110344400124232322
6552535231051514500
730042402020662335
oct2660757143742304
9433446385376480
10100122022102212
11299a1569334650
12b29039a758a30
1343b360a2458a6
141aa1d0892828c
15b8960c0518ac
hex5b0f798fc4c4

100122022102212 has 36 divisors (see below), whose sum is σ = 276094060949616. Its totient is φ = 30340006697520.

The previous prime is 100122022102211. The next prime is 100122022102237. The reversal of 100122022102212 is 212201220221001.

It is a happy number.

100122022102212 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 220 + 221 + 0 + 221 + 2 = 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 not an unprimeable number, because it can be changed into a prime (100122022102211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126416694178 + ... + 126416694969.

Almost surely, 2100122022102212 is an apocalyptic number.

100122022102212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100122022102212 is an abundant number, since it is smaller than the sum of its proper divisors (175972038847404).

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

100122022102212 is a wasteful number, since it uses less digits than its factorization.

100122022102212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252833389168 (or 252833389163 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100122022102212 its reverse (212201220221001), we get a palindrome (312323242323213).

The spelling of 100122022102212 in words is "one hundred trillion, one hundred twenty-two billion, twenty-two million, one hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 252833389147 505666778294 758500167441 1011333556588 1517000334882 2275500502323 2781167280617 3034000669764 4551001004646 5562334561234 8343501841851 9102002009292 11124669122468 16687003683702 25030505525553 33374007367404 50061011051106 100122022102212