101100110110100 has 18 divisors (see below), whose sum is σ = 219387238939134. Its totient is φ = 40440044044000.

The previous prime is 101100110110073. The next prime is 101100110110147. The reversal of 101100110110100 is 1011011001101.

It can be written as a sum of positive squares in 3 ways, for example, as 5791829450884 + 95308280659216 = 2406622^2 + 9762596^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 505500550451 + ... + 505500550650.

It is an arithmetic number, because the mean of its divisors is an integer number (12188179941063).

Almost surely, 2^{101100110110100} is an apocalyptic number.

101100110110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100110110100 is an abundant number, since it is smaller than the sum of its proper divisors (118287128829034).

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

101100110110100 is a wasteful number, since it uses less digits than its factorization.

101100110110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011001101115 (or 1011001101108 counting only the distinct ones).

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

Adding to 101100110110100 its reverse (1011011001101), we get a palindrome (102111121111201).

The spelling of 101100110110100 in words is "one hundred one trillion, one hundred billion, one hundred ten million, one hundred ten thousand, one hundred".