100110110000100 has 216 divisors, whose sum is σ = 315560388342528. Its totient is φ = 24475136428800.

The previous prime is 100110110000039. The next prime is 100110110000137. The reversal of 100110110000100 is 1000011011001.

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 an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 11552019 + ... + 18266618.

It is an arithmetic number, because the mean of its divisors is an integer number (1460927723808).

Almost surely, 2^{100110110000100} is an apocalyptic number.

100110110000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100110110000100 is an abundant number, since it is smaller than the sum of its proper divisors (215450278342428).

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

100110110000100 is a wasteful number, since it uses less digits than its factorization.

100110110000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29818723 (or 29818697 counting only the distinct ones).

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

Adding to 100110110000100 its reverse (1000011011001), we get a palindrome (101110121011101).

It can be divided in two parts, 1001 and 10110000100, that added together give a palindrome (10110001101).

The spelling of 100110110000100 in words is "one hundred trillion, one hundred ten billion, one hundred ten million, one hundred", and thus it is an aban number.