100012211120 has 40 divisors (see below), whose sum is σ = 232590916800. Its totient is φ = 39994127360.

The previous prime is 100012211119. The next prime is 100012211147. The reversal of 100012211120 is 21112210001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×100012211120² (a number of 23 digits) contains 22 as substring.

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, 134681 + ... + 467079.

It is an arithmetic number, because the mean of its divisors is an integer number (5814772920).

Almost surely, 2^100012211120 is an apocalyptic number.

100012211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100012211120 is an abundant number, since it is smaller than the sum of its proper divisors (132578705680).

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

100012211120 is a wasteful number, since it uses less digits than its factorization.

100012211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336173 (or 336167 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100012211120 its reverse (21112210001), we get a palindrome (121124421121).

The spelling of 100012211120 in words is "one hundred billion, twelve million, two hundred eleven thousand, one hundred twenty".