10111111100172 has 36 divisors (see below), whose sum is σ = 25558895640096. Its totient is φ = 3370336912800.

The previous prime is 10111111100171. The next prime is 10111111100183. The reversal of 10111111100172 is 27100111111101.

10111111100172 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10111111100171) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2426797 + ... + 5109947.

It is an arithmetic number, because the mean of its divisors is an integer number (709969323336).

Almost surely, 2^{10111111100172} is an apocalyptic number.

10111111100172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10111111100172 is an abundant number, since it is smaller than the sum of its proper divisors (15447784539924).

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

10111111100172 is a wasteful number, since it uses less digits than its factorization.

10111111100172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2787838 (or 2787833 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 18.

Adding to 10111111100172 its reverse (27100111111101), we get a palindrome (37211222211273).

The spelling of 10111111100172 in words is "ten trillion, one hundred eleven billion, one hundred eleven million, one hundred thousand, one hundred seventy-two".