101214552501025 has 12 divisors (see below), whose sum is σ = 125507414922172. Its totient is φ = 80970758245440.

The previous prime is 101214552500977. The next prime is 101214552501067. The reversal of 101214552501025 is 520105255412101.

It can be written as a sum of positive squares in 6 ways, for example, as 18905530106401 + 82309022394624 = 4348049^2 + 9072432^2 .

It is not a de Polignac number, because 101214552501025 - 2³³ = 101205962566433 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19752654 + ... + 24343303.

Almost surely, 2^{101214552501025} is an apocalyptic number.

It is an amenable number.

101214552501025 is a deficient number, since it is larger than the sum of its proper divisors (24292862421147).

101214552501025 is an equidigital number, since it uses as much as digits as its factorization.

101214552501025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44187780 (or 44187775 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 34.

The spelling of 101214552501025 in words is "one hundred one trillion, two hundred fourteen billion, five hundred fifty-two million, five hundred one thousand, twenty-five".