101100110100100 has 36 divisors (see below), whose sum is σ = 222983751044068. Its totient is φ = 39777092496000.

The previous prime is 101100110100097. The next prime is 101100110100109. The reversal of 101100110100100 is 1001011001101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 11525848460676 + 89574261639424 = 3394974^2 + 9464368^2 .

It is not an unprimeable number, because it can be changed into a prime (101100110100109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8286888171 + ... + 8286900370.

Almost surely, 2^{101100110100100} is an apocalyptic number.

101100110100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100110100100 is an abundant number, since it is smaller than the sum of its proper divisors (121883640943968).

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

101100110100100 is a wasteful number, since it uses less digits than its factorization.

101100110100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16573788616 (or 16573788609 counting only the distinct ones).

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

Adding to 101100110100100 its reverse (1001011001101), we get a palindrome (102101121101201).

The spelling of 101100110100100 in words is "one hundred one trillion, one hundred billion, one hundred ten million, one hundred thousand, one hundred".