101100111101110 has 64 divisors (see below), whose sum is σ = 203114626403328. Its totient is φ = 35921516400000.

The previous prime is 101100111101069. The next prime is 101100111101141. The reversal of 101100111101110 is 11101111001101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48877786 + ... + 50904205.

It is an arithmetic number, because the mean of its divisors is an integer number (3173666037552).

Almost surely, 2^{101100111101110} is an apocalyptic number.

101100111101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101100111101110 is an abundant number, since it is smaller than the sum of its proper divisors (102014515302218).

101100111101110 is a wasteful number, since it uses less digits than its factorization.

101100111101110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99782221.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 101100111101110 its reverse (11101111001101), we get a palindrome (112201222102211).

The spelling of 101100111101110 in words is "one hundred one trillion, one hundred billion, one hundred eleven million, one hundred one thousand, one hundred ten".