101537185201 has 27 divisors (see below), whose sum is σ = 110935937259. Its totient is φ = 92918048400.

The previous prime is 101537185177. The next prime is 101537185207. The reversal of 101537185201 is 102581735101.

The square root of 101537185201 is 318649.

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., 40340320801 + 61196864400 = 200849^2 + 247380^2 .

It is not a de Polignac number, because 101537185201 - 2⁹ = 101537184689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101537185207) 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, 187683991 + ... + 187684531.

It is an arithmetic number, because the mean of its divisors is an integer number (4108738417).

Almost surely, 2^101537185201 is an apocalyptic number.

101537185201 is the 318649-th square number.

101537185201 is the 159325-th centered octagonal number.

It is an amenable number.

101537185201 is a deficient number, since it is larger than the sum of its proper divisors (9398752058).

101537185201 is an frugal number, since it uses more digits than its factorization.

101537185201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 34.

The spelling of 101537185201 in words is "one hundred one billion, five hundred thirty-seven million, one hundred eighty-five thousand, two hundred one".