100000120010112 has 96 divisors (see below), whose sum is σ = 328869442321680. Its totient is φ = 28571462857728.

The previous prime is 100000120010051. The next prime is 100000120010123. The reversal of 100000120010112 is 211010021000001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100000120010094 and 100000120010103.

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 11 ways as a sum of consecutive naturals, for example, 6200396203 + ... + 6200412330.

Almost surely, 2^{100000120010112} is an apocalyptic number.

100000120010112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100000120010112 is an abundant number, since it is smaller than the sum of its proper divisors (228869322311568).

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

100000120010112 is a wasteful number, since it uses less digits than its factorization.

100000120010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12400808560 (or 12400808545 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100000120010112 its reverse (211010021000001), we get a palindrome (311010141010113).

The spelling of 100000120010112 in words is "one hundred trillion, one hundred twenty million, ten thousand, one hundred twelve".