101110011001100 has 36 divisors (see below), whose sum is σ = 226486424649408. Its totient is φ = 39139359096000.

The previous prime is 101110011001061. The next prime is 101110011001187. The reversal of 101110011001100 is 1100110011101.

101110011001100 is a modest number, since divided by 11001100 gives 1011100 as remainder.

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, 16308063191 + ... + 16308069390.

Almost surely, 2^{101110011001100} is an apocalyptic number.

101110011001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101110011001100 is an abundant number, since it is smaller than the sum of its proper divisors (125376413648308).

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

101110011001100 is a wasteful number, since it uses less digits than its factorization.

101110011001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32616132626 (or 32616132619 counting only the distinct ones).

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

Adding to 101110011001100 its reverse (1100110011101), we get a palindrome (102210121012201).

It can be divided in two parts, 101110011001 and 100, that added together give a palindrome (101110011101).

The spelling of 101110011001100 in words is "one hundred one trillion, one hundred ten billion, eleven million, one thousand, one hundred".