100101111101100 has 144 divisors (see below), whose sum is σ = 323211805655200. Its totient is φ = 26577063394560.

The previous prime is 100101111101099. The next prime is 100101111101107. The reversal of 100101111101100 is 1101111101001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100101111101107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80330359 + ... + 81566958.

Almost surely, 2^{100101111101100} is an apocalyptic number.

100101111101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101111101100 is an abundant number, since it is smaller than the sum of its proper divisors (223110694554100).

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

100101111101100 is a wasteful number, since it uses less digits than its factorization.

100101111101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161897569 (or 161897556 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 100101111101100 its reverse (1101111101001), we get a palindrome (101202222202101).

Subtracting from 100101111101100 its reverse (1101111101001), we obtain a palindrome (99000000000099).

The spelling of 100101111101100 in words is "one hundred trillion, one hundred one billion, one hundred eleven million, one hundred one thousand, one hundred".