101110100101100 has 72 divisors (see below), whose sum is σ = 227116522987200. Its totient is φ = 39025025536000.

The previous prime is 101110100101081. The next prime is 101110100101183. The reversal of 101110100101100 is 1101001011101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6245780 + ... + 15531579.

It is an arithmetic number, because the mean of its divisors is an integer number (3154396152600).

Almost surely, 2^{101110100101100} is an apocalyptic number.

101110100101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101110100101100 is an abundant number, since it is smaller than the sum of its proper divisors (126006422886100).

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

101110100101100 is a wasteful number, since it uses less digits than its factorization.

101110100101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21779003 (or 21778996 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 101110100101100 its reverse (1101001011101), we get a palindrome (102211101112201).

The spelling of 101110100101100 in words is "one hundred one trillion, one hundred ten billion, one hundred million, one hundred one thousand, one hundred".