101631527209 has 9 divisors (see below), whose sum is σ = 105266484453. Its totient is φ = 98118065472.

The previous prime is 101631527201. The next prime is 101631527243. The reversal of 101631527209 is 902725136101.

The square root of 101631527209 is 318797.

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

It can be written as a sum of positive squares in 4 ways, for example, as 11288000025 + 90343527184 = 106245^2 + 300572^2 .

It is not a de Polignac number, because 101631527209 - 2³ = 101631527201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101631527201) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9239617 + ... + 9250609.

Almost surely, 2^101631527209 is an apocalyptic number.

101631527209 is the 318797-th square number.

101631527209 is the 159399-th centered octagonal number.

It is an amenable number.

101631527209 is a deficient number, since it is larger than the sum of its proper divisors (3634957244).

101631527209 is an frugal number, since it uses more digits than its factorization.

101631527209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22044 (or 11022 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 37.

It can be divided in two parts, 1016 and 31527209, that added together give a square (31528225 = 5615²).

The spelling of 101631527209 in words is "one hundred one billion, six hundred thirty-one million, five hundred twenty-seven thousand, two hundred nine".