289110010211121 has 16 divisors (see below), whose sum is σ = 420525457735680. Its totient is φ = 175217435290320.

The previous prime is 289110010211111. The next prime is 289110010211131. The reversal of 289110010211121 is 121112010011982.

It is an interprime number because it is at equal distance from previous prime (289110010211111) and next prime (289110010211131).

It is not a de Polignac number, because 289110010211121 - 2²³ = 289110001822513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (289110010211111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10970905 + ... + 26430678.

It is an arithmetic number, because the mean of its divisors is an integer number (26282841108480).

Almost surely, 2^{289110010211121} is an apocalyptic number.

It is an amenable number.

289110010211121 is a deficient number, since it is larger than the sum of its proper divisors (131415447524559).

289110010211121 is a wasteful number, since it uses less digits than its factorization.

289110010211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37635836.

The product of its (nonzero) digits is 576, while the sum is 30.

The spelling of 289110010211121 in words is "two hundred eighty-nine trillion, one hundred ten billion, ten million, two hundred eleven thousand, one hundred twenty-one".