101265561 has 24 divisors (see below), whose sum is σ = 152845056. Its totient is φ = 64530720.

The previous prime is 101265553. The next prime is 101265581. The reversal of 101265561 is 165562101.

It is a happy number.

101265561 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 655 + 6 + 1 = 666.

It is not a de Polignac number, because 101265561 - 2³ = 101265553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101265511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20971 + ... + 25343.

It is an arithmetic number, because the mean of its divisors is an integer number (6368544).

Almost surely, 2^101265561 is an apocalyptic number.

It is an amenable number.

101265561 is a deficient number, since it is larger than the sum of its proper divisors (51579495).

101265561 is a wasteful number, since it uses less digits than its factorization.

101265561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4493 (or 4490 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 101265561 is about 10063.0791013487. The cubic root of 101265561 is about 466.1087520255.

The spelling of 101265561 in words is "one hundred one million, two hundred sixty-five thousand, five hundred sixty-one".