100011011100100 has 36 divisors (see below), whose sum is σ = 217276541414800. Its totient is φ = 39957833504160.

The previous prime is 100011011100053. The next prime is 100011011100107. The reversal of 100011011100100 is 1001110110001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (100011011100107) 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, 582050370 + ... + 582222169.

Almost surely, 2^{100011011100100} is an apocalyptic number.

100011011100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100011011100100 is an abundant number, since it is smaller than the sum of its proper divisors (117265530314700).

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

100011011100100 is a wasteful number, since it uses less digits than its factorization.

100011011100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164273412 (or 1164273405 counting only the distinct ones).

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

Adding to 100011011100100 its reverse (1001110110001), we get a palindrome (101012121210101).

Subtracting from 100011011100100 its reverse (1001110110001), we obtain a palindrome (99009900990099).

The spelling of 100011011100100 in words is "one hundred trillion, eleven billion, eleven million, one hundred thousand, one hundred".