100434401121 has 32 divisors (see below), whose sum is σ = 141617631232. Its totient is φ = 63213151680.

The previous prime is 100434401087. The next prime is 100434401131. The reversal of 100434401121 is 121104434001.

It is not a de Polignac number, because 100434401121 - 2¹⁸ = 100434138977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100434401131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3396426 + ... + 3425868.

It is an arithmetic number, because the mean of its divisors is an integer number (4425550976).

Almost surely, 2^100434401121 is an apocalyptic number.

It is an amenable number.

100434401121 is a deficient number, since it is larger than the sum of its proper divisors (41183230111).

100434401121 is a wasteful number, since it uses less digits than its factorization.

100434401121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30373.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 100434401121 its reverse (121104434001), we get a palindrome (221538835122).

The spelling of 100434401121 in words is "one hundred billion, four hundred thirty-four million, four hundred one thousand, one hundred twenty-one".