101521890625 has 21 divisors (see below), whose sum is σ = 126950542981. Its totient is φ = 81185650000.

The previous prime is 101521890599. The next prime is 101521890641. The reversal of 101521890625 is 526098125101.

The square root of 101521890625 is 318625.

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

It can be written as a sum of positive squares in 10 ways, for example, as 100848799489 + 673091136 = 317567^2 + 25944^2 .

It is not a de Polignac number, because 101521890625 - 2³¹ = 99374406977 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 39826851 + ... + 39829399.

Almost surely, 2^101521890625 is an apocalyptic number.

101521890625 is the 318625-th square number.

101521890625 is the 159313-rd centered octagonal number.

It is an amenable number.

101521890625 is a deficient number, since it is larger than the sum of its proper divisors (25428652356).

101521890625 is an frugal number, since it uses more digits than its factorization.

101521890625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5128 (or 2554 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 40.

The spelling of 101521890625 in words is "one hundred one billion, five hundred twenty-one million, eight hundred ninety thousand, six hundred twenty-five".