102421121089 has 27 divisors (see below), whose sum is σ = 120404362851. Its totient is φ = 86869757520.

The previous prime is 102421121081. The next prime is 102421121141. The reversal of 102421121089 is 980121124201.

The square root of 102421121089 is 320033.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 75176317489 + 27244803600 = 274183^2 + 165060^2 .

It is not a de Polignac number, because 102421121089 - 2³ = 102421121081 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102421121089.

It is not an unprimeable number, because it can be changed into a prime (102421121081) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 293470087 + ... + 293470435.

Almost surely, 2^102421121089 is an apocalyptic number.

102421121089 is the 320033-rd square number.

102421121089 is the 160017-th centered octagonal number.

It is an amenable number.

102421121089 is a deficient number, since it is larger than the sum of its proper divisors (17983241762).

102421121089 is an frugal number, since it uses more digits than its factorization.

102421121089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 31.

Multiplying 102421121089 by its product of nonzero digits (2304), we get a square (235978262989056 = 15361584²).

The spelling of 102421121089 in words is "one hundred two billion, four hundred twenty-one million, one hundred twenty-one thousand, eighty-nine".