10002012112100 has 72 divisors (see below), whose sum is σ = 21730674772800. Its totient is φ = 3995957680000.

The previous prime is 10002012112097. The next prime is 10002012112111. The reversal of 10002012112100 is 121121020001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 412424975 + ... + 412449225.

It is an arithmetic number, because the mean of its divisors is an integer number (301814927400).

Almost surely, 2^{10002012112100} is an apocalyptic number.

10002012112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002012112100 is an abundant number, since it is smaller than the sum of its proper divisors (11728662660700).

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

10002012112100 is a wasteful number, since it uses less digits than its factorization.

10002012112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29093 (or 29086 counting only the distinct ones).

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

Adding to 10002012112100 its reverse (121121020001), we get a palindrome (10123133132101).

The spelling of 10002012112100 in words is "ten trillion, two billion, twelve million, one hundred twelve thousand, one hundred".