10102012100 has 36 divisors (see below), whose sum is σ = 22248565584. Its totient is φ = 3980491680.

The previous prime is 10102012097. The next prime is 10102012121. The reversal of 10102012100 is 121020101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 747182 + ... + 760581.

Almost surely, 2^10102012100 is an apocalyptic number.

10102012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102012100 is an abundant number, since it is smaller than the sum of its proper divisors (12146553484).

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

10102012100 is a wasteful number, since it uses less digits than its factorization.

10102012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507844 (or 1507837 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10102012100 its reverse (121020101), we get a palindrome (10223032201).

The spelling of 10102012100 in words is "ten billion, one hundred two million, twelve thousand, one hundred".