100100111011110 has 192 divisors, whose sum is σ = 311452754365440. Its totient is φ = 22810900432320.

The previous prime is 100100111011093. The next prime is 100100111011133. The reversal of 100100111011110 is 11110111001001.

100100111011110 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100100111011092 and 100100111011101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7050094 + ... + 15808353.

It is an arithmetic number, because the mean of its divisors is an integer number (1622149762320).

Almost surely, 2^{100100111011110} is an apocalyptic number.

100100111011110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100100111011110 is an abundant number, since it is smaller than the sum of its proper divisors (211352643354330).

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

100100111011110 is a wasteful number, since it uses less digits than its factorization.

100100111011110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22858808 (or 22858795 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 100100111011110 its reverse (11110111001001), we get a palindrome (111210222012111).

The spelling of 100100111011110 in words is "one hundred trillion, one hundred billion, one hundred eleven million, eleven thousand, one hundred ten".