101272242289 has 3 divisors (see below), whose sum is σ = 101272560523. Its totient is φ = 101271924056.

The previous prime is 101272242283. The next prime is 101272242317. The reversal of 101272242289 is 982242272101.

The square root of 101272242289 is 318233.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 24981383025 + 76290859264 = 158055^2 + 276208^2 .

It is not a de Polignac number, because 101272242289 - 2¹⁷ = 101272111217 is a prime.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101272242283) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 159117 + ... + 477349.

Almost surely, 2^101272242289 is an apocalyptic number.

101272242289 is the 318233-rd square number.

101272242289 is the 159117-th centered octagonal number.

It is an amenable number.

101272242289 is a deficient number, since it is larger than the sum of its proper divisors (318234).

101272242289 is an frugal number, since it uses more digits than its factorization.

101272242289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636466 (or 318233 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 101272242289 in words is "one hundred one billion, two hundred seventy-two million, two hundred forty-two thousand, two hundred eighty-nine".