101110111101100 has 36 divisors (see below), whose sum is σ = 219409634705800. Its totient is φ = 40443916584960.

The previous prime is 101110111101089. The next prime is 101110111101113. The reversal of 101110111101100 is 1101111011101.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34176691 + ... + 37017109.

Almost surely, 2^{101110111101100} is an apocalyptic number.

101110111101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101110111101100 is an abundant number, since it is smaller than the sum of its proper divisors (118299523604700).

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

101110111101100 is a wasteful number, since it uses less digits than its factorization.

101110111101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3196402 (or 3196395 counting only the distinct ones).

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

Adding to 101110111101100 its reverse (1101111011101), we get a palindrome (102211222112201).

The spelling of 101110111101100 in words is "one hundred one trillion, one hundred ten billion, one hundred eleven million, one hundred one thousand, one hundred".