100101101001100 has 36 divisors (see below), whose sum is σ = 217328380768744. Its totient is φ = 40020349783680.

The previous prime is 100101101001073. The next prime is 100101101001131. The reversal of 100101101001100 is 1100101101001.

It is a happy number.

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, 250932414 + ... + 251331013.

Almost surely, 2^{100101101001100} is an apocalyptic number.

100101101001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101101001100 is an abundant number, since it is smaller than the sum of its proper divisors (117227279767644).

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

100101101001100 is a wasteful number, since it uses less digits than its factorization.

100101101001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502265434 (or 502265427 counting only the distinct ones).

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

Adding to 100101101001100 its reverse (1100101101001), we get a palindrome (101201202102101).

Subtracting from 100101101001100 its reverse (1100101101001), we obtain a palindrome (99000999900099).

The spelling of 100101101001100 in words is "one hundred trillion, one hundred one billion, one hundred one million, one thousand, one hundred".