101101100001100 has 18 divisors (see below), whose sum is σ = 219389387002604. Its totient is φ = 40440440000400.

The previous prime is 101101100001089. The next prime is 101101100001137. The reversal of 101101100001100 is 1100001101101.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 505505499906 + ... + 505505500105.

Almost surely, 2^{101101100001100} is an apocalyptic number.

101101100001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101100001100 is an abundant number, since it is smaller than the sum of its proper divisors (118288287001504).

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

101101100001100 is a wasteful number, since it uses less digits than its factorization.

101101100001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011011000025 (or 1011011000018 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 101101100001100 its reverse (1100001101101), we get a palindrome (102201101102201).

The spelling of 101101100001100 in words is "one hundred one trillion, one hundred one billion, one hundred million, one thousand, one hundred".