202442134401121 has 32 divisors (see below), whose sum is σ = 208230532323840. Its totient is φ = 196719164522496.

The previous prime is 202442134401107. The next prime is 202442134401173. The reversal of 202442134401121 is 121104431244202.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-202442134401121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (202442134401721) 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, 17189612385 + ... + 17189624161.

It is an arithmetic number, because the mean of its divisors is an integer number (6507204135120).

Almost surely, 2^{202442134401121} is an apocalyptic number.

It is an amenable number.

202442134401121 is a deficient number, since it is larger than the sum of its proper divisors (5788397922719).

202442134401121 is a wasteful number, since it uses less digits than its factorization.

202442134401121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15033.

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 202442134401121 its reverse (121104431244202), we get a palindrome (323546565645323).

The spelling of 202442134401121 in words is "two hundred two trillion, four hundred forty-two billion, one hundred thirty-four million, four hundred one thousand, one hundred twenty-one".