100110313122000 has 160 divisors (see below), whose sum is σ = 322764233076480. Its totient is φ = 26695373529600.

The previous prime is 100110313121993. The next prime is 100110313122049. The reversal of 100110313122000 is 221313011001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248672874 + ... + 249075126.

It is an arithmetic number, because the mean of its divisors is an integer number (2017276456728).

Almost surely, 2^{100110313122000} is an apocalyptic number.

100110313122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100110313122000 is an abundant number, since it is smaller than the sum of its proper divisors (222653919954480).

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

100110313122000 is a wasteful number, since it uses less digits than its factorization.

100110313122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443758 (or 443742 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 100110313122000 its reverse (221313011001), we get a palindrome (100331626133001).

The spelling of 100110313122000 in words is "one hundred trillion, one hundred ten billion, three hundred thirteen million, one hundred twenty-two thousand".