101525121 has 6 divisors (see below), whose sum is σ = 146647410. Its totient is φ = 67683408.

The previous prime is 101525119. The next prime is 101525153. The reversal of 101525121 is 121525101.

101525121 is a `hidden beast` number, since 1 + 0 + 152 + 512 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 91412721 + 10112400 = 9561^2 + 3180^2 .

It is not a de Polignac number, because 101525121 - 2¹ = 101525119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101525094 and 101525103.

It is not an unprimeable number, because it can be changed into a prime (101525111) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5640276 + ... + 5640293.

It is an arithmetic number, because the mean of its divisors is an integer number (24441235).

Almost surely, 2^101525121 is an apocalyptic number.

It is an amenable number.

101525121 is a deficient number, since it is larger than the sum of its proper divisors (45122289).

101525121 is a wasteful number, since it uses less digits than its factorization.

101525121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11280575 (or 11280572 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 101525121 is about 10075.9674969702. The cubic root of 101525121 is about 466.5066496159.

It can be divided in two parts, 10 and 1525121, that added together give a triangular number (1525131 = T₁₇₄₆).

The spelling of 101525121 in words is "one hundred one million, five hundred twenty-five thousand, one hundred twenty-one".