100101101101100 has 72 divisors (see below), whose sum is σ = 236970796440000. Its totient is φ = 36399756801600.

The previous prime is 100101101101033. The next prime is 100101101101103. The reversal of 100101101101100 is 1101101101001.

It is not an unprimeable number, because it can be changed into a prime (100101101101103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63793751 + ... + 65344049.

Almost surely, 2^{100101101101100} is an apocalyptic number.

100101101101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101101101100 is an abundant number, since it is smaller than the sum of its proper divisors (136869695338900).

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

100101101101100 is a wasteful number, since it uses less digits than its factorization.

100101101101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609023 (or 1609016 counting only the distinct ones).

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

Adding to 100101101101100 its reverse (1101101101001), we get a palindrome (101202202202101).

Subtracting from 100101101101100 its reverse (1101101101001), we obtain a palindrome (99000000000099).

The spelling of 100101101101100 in words is "one hundred trillion, one hundred one billion, one hundred one million, one hundred one thousand, one hundred".