10111120112100 has 144 divisors (see below), whose sum is σ = 35400815952768. Its totient is φ = 2175165327360.

The previous prime is 10111120112077. The next prime is 10111120112243. The reversal of 10111120112100 is 121102111101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141576627 + ... + 141648026.

It is an arithmetic number, because the mean of its divisors is an integer number (245838999672).

Almost surely, 2^{10111120112100} is an apocalyptic number.

10111120112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111120112100 is an abundant number, since it is smaller than the sum of its proper divisors (25289695840668).

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

10111120112100 is a wasteful number, since it uses less digits than its factorization.

10111120112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283224694 (or 283224687 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10111120112100 its reverse (121102111101), we get a palindrome (10232222223201).

The spelling of 10111120112100 in words is "ten trillion, one hundred eleven billion, one hundred twenty million, one hundred twelve thousand, one hundred".