902216922201 has 45 divisors (see below), whose sum is σ = 1567901955279. Its totient is φ = 515518332336.

The previous prime is 902216922193. The next prime is 902216922239. The reversal of 902216922201 is 102229612209.

The square root of 902216922201 is 949851.

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., 26727345225 + 875489576976 = 163485^2 + 935676^2 .

It is not a de Polignac number, because 902216922201 - 2³ = 902216922193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (902216924201) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 59833075 + ... + 59848151.

Almost surely, 2^902216922201 is an apocalyptic number.

902216922201 is the 949851-st square number.

902216922201 is the 474926-th centered octagonal number.

It is an amenable number.

902216922201 is a deficient number, since it is larger than the sum of its proper divisors (665685033078).

902216922201 is an frugal number, since it uses more digits than its factorization.

902216922201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30180 (or 15087 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Multiplying 902216922201 by its sum of digits (36), we get a square (32479809199236 = 5699106²).

The spelling of 902216922201 in words is "nine hundred two billion, two hundred sixteen million, nine hundred twenty-two thousand, two hundred one".