100014042120 has 32 divisors (see below), whose sum is σ = 300042126720. Its totient is φ = 26670411200.

The previous prime is 100014042109. The next prime is 100014042131. The reversal of 100014042120 is 21240410001.

It is an interprime number because it is at equal distance from previous prime (100014042109) and next prime (100014042131).

It is a super-2 number, since 2×100014042120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100014042120.

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, 416725056 + ... + 416725295.

It is an arithmetic number, because the mean of its divisors is an integer number (9376316460).

Almost surely, 2^100014042120 is an apocalyptic number.

100014042120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100014042120 is an abundant number, since it is smaller than the sum of its proper divisors (200028084600).

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

100014042120 is a wasteful number, since it uses less digits than its factorization.

100014042120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833450365 (or 833450361 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100014042120 its reverse (21240410001), we get a palindrome (121254452121).

The spelling of 100014042120 in words is "one hundred billion, fourteen million, forty-two thousand, one hundred twenty".