100121433444 has 36 divisors (see below), whose sum is σ = 253479620940. Its totient is φ = 33321738240.

The previous prime is 100121433431. The next prime is 100121433463. The reversal of 100121433444 is 444334121001.

100121433444 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 214 + 3 + 3 + 444 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 85286193444 + 14835240000 = 292038^2 + 121800^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×100121433444² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2146309 + ... + 2192460.

Almost surely, 2^100121433444 is an apocalyptic number.

It is an amenable number.

100121433444 is an abundant number, since it is smaller than the sum of its proper divisors (153358187496).

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

100121433444 is a wasteful number, since it uses less digits than its factorization.

100121433444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4339420 (or 4339415 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 100121433444 its reverse (444334121001), we get a palindrome (544455554445).

The spelling of 100121433444 in words is "one hundred billion, one hundred twenty-one million, four hundred thirty-three thousand, four hundred forty-four".