101110111111100 has 144 divisors (see below), whose sum is σ = 274468689504576. Its totient is φ = 31475098368000.

The previous prime is 101110111111081. The next prime is 101110111111193. The reversal of 101110111111100 is 1111111011101.

101110111111100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90518681 + ... + 91628880.

It is an arithmetic number, because the mean of its divisors is an integer number (1906032566004).

Almost surely, 2^{101110111111100} is an apocalyptic number.

101110111111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101110111111100 is an abundant number, since it is smaller than the sum of its proper divisors (173358578393476).

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

101110111111100 is a wasteful number, since it uses less digits than its factorization.

101110111111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182147656 (or 182147649 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 101110111111100 its reverse (1111111011101), we get a palindrome (102221222122201).

Subtracting from 101110111111100 its reverse (1111111011101), we obtain a palindrome (99999000099999).

The spelling of 101110111111100 in words is "one hundred one trillion, one hundred ten billion, one hundred eleven million, one hundred eleven thousand, one hundred".