101561125 has 32 divisors (see below), whose sum is σ = 132088320. Its totient is φ = 77905600.

The previous prime is 101561101. The next prime is 101561143. The reversal of 101561125 is 521165101.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-101561125 is a prime.

It is a super-2 number, since 2×101561125² = 20629324222531250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101561096 and 101561105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 346479 + ... + 346771.

It is an arithmetic number, because the mean of its divisors is an integer number (4127760).

Almost surely, 2^101561125 is an apocalyptic number.

It is an amenable number.

101561125 is a deficient number, since it is larger than the sum of its proper divisors (30527195).

101561125 is an equidigital number, since it uses as much as digits as its factorization.

101561125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 22.

The square root of 101561125 is about 10077.7539660383. The cubic root of 101561125 is about 466.5617890735.

The spelling of 101561125 in words is "one hundred one million, five hundred sixty-one thousand, one hundred twenty-five".