100110101000100 has 72 divisors (see below), whose sum is σ = 289804262048448. Its totient is φ = 26681983632000.

The previous prime is 100110101000069. The next prime is 100110101000101. The reversal of 100110101000100 is 1000101011001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (100110101000101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87199384 + ... + 88339983.

Almost surely, 2^{100110101000100} is an apocalyptic number.

100110101000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100110101000100 is an abundant number, since it is smaller than the sum of its proper divisors (189694161048348).

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

100110101000100 is a wasteful number, since it uses less digits than its factorization.

100110101000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175541285 (or 175541278 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100110101000100 its reverse (1000101011001), we get a palindrome (101110202011101).

The spelling of 100110101000100 in words is "one hundred trillion, one hundred ten billion, one hundred one million, one hundred", and thus it is an aban number.