100100101000100 has 72 divisors (see below), whose sum is σ = 230004125981280. Its totient is φ = 37683199889920.

The previous prime is 100100101000051. The next prime is 100100101000111. The reversal of 100100101000100 is 1000101001001.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40726367 + ... + 43114233.

It is an arithmetic number, because the mean of its divisors is an integer number (3194501749740).

Almost surely, 2^{100100101000100} is an apocalyptic number.

100100101000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100100101000100 is an abundant number, since it is smaller than the sum of its proper divisors (129904024981180).

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

100100101000100 is a wasteful number, since it uses less digits than its factorization.

100100101000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2412557 (or 2412550 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100100101000100 its reverse (1000101001001), we get a palindrome (101100202001101).

Subtracting from 100100101000100 its reverse (1000101001001), we obtain a palindrome (99099999999099).

The spelling of 100100101000100 in words is "one hundred trillion, one hundred billion, one hundred one million, one hundred", and thus it is an aban number.