10011112012100 has 36 divisors (see below), whose sum is σ = 21726324506964. Its totient is φ = 4004037166080.

The previous prime is 10011112012093. The next prime is 10011112012127. The reversal of 10011112012100 is 121021111001.

It can be written as a sum of positive squares in 6 ways, for example, as 609676749124 + 9401435262976 = 780818^2 + 3066176^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4107269 + ... + 6073868.

Almost surely, 2^{10011112012100} is an apocalyptic number.

10011112012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011112012100 is an abundant number, since it is smaller than the sum of its proper divisors (11715212494864).

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

10011112012100 is a wasteful number, since it uses less digits than its factorization.

10011112012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10190984 (or 10190977 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10011112012100 its reverse (121021111001), we get a palindrome (10132133123101).

The spelling of 10011112012100 in words is "ten trillion, eleven billion, one hundred twelve million, twelve thousand, one hundred".