100012102120 has 64 divisors (see below), whose sum is σ = 263154798720. Its totient is φ = 33492420864.

The previous prime is 100012102111. The next prime is 100012102129. The reversal of 100012102120 is 21201210001.

It is an interprime number because it is at equal distance from previous prime (100012102111) and next prime (100012102129).

It is a super-2 number, since 2×100012102120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100012102097 and 100012102106.

It is not an unprimeable number, because it can be changed into a prime (100012102129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4141287 + ... + 4165366.

It is an arithmetic number, because the mean of its divisors is an integer number (4111793730).

Almost surely, 2^100012102120 is an apocalyptic number.

100012102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100012102120 is an abundant number, since it is smaller than the sum of its proper divisors (163142696600).

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

100012102120 is a wasteful number, since it uses less digits than its factorization.

100012102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8306714 (or 8306710 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100012102120 its reverse (21201210001), we get a palindrome (121213312121).

The spelling of 100012102120 in words is "one hundred billion, twelve million, one hundred two thousand, one hundred twenty".