101261163625 has 16 divisors (see below), whose sum is σ = 127222102800. Its totient is φ = 80465232000.

The previous prime is 101261163551. The next prime is 101261163713. The reversal of 101261163625 is 526361162101.

It can be written as a sum of positive squares in 8 ways, for example, as 59803724304 + 41457439321 = 244548^2 + 203611^2 .

It is not a de Polignac number, because 101261163625 - 2²⁷ = 101126945897 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2699796 + ... + 2737045.

It is an arithmetic number, because the mean of its divisors is an integer number (7951381425).

Almost surely, 2^101261163625 is an apocalyptic number.

It is an amenable number.

101261163625 is a deficient number, since it is larger than the sum of its proper divisors (25960939175).

101261163625 is an equidigital number, since it uses as much as digits as its factorization.

101261163625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5437005 (or 5436995 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The spelling of 101261163625 in words is "one hundred one billion, two hundred sixty-one million, one hundred sixty-three thousand, six hundred twenty-five".