100034101121344 has 56 divisors (see below), whose sum is σ = 213776187021320. Its totient is φ = 46169285105664.

The previous prime is 100034101121321. The next prime is 100034101121359. The reversal of 100034101121344 is 443121101430001.

It can be written as a sum of positive squares in 4 ways, for example, as 4791335743744 + 95242765377600 = 2188912^2 + 9759240^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175024582 + ... + 175595194.

It is an arithmetic number, because the mean of its divisors is an integer number (3817431911095).

Almost surely, 2^{100034101121344} is an apocalyptic number.

It is an amenable number.

100034101121344 is an abundant number, since it is smaller than the sum of its proper divisors (113742085899976).

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

100034101121344 is a wasteful number, since it uses less digits than its factorization.

100034101121344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781347 (or 781337 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 100034101121344 its reverse (443121101430001), we get a palindrome (543155202551345).

The spelling of 100034101121344 in words is "one hundred trillion, thirty-four billion, one hundred one million, one hundred twenty-one thousand, three hundred forty-four".