101001989502025 has 24 divisors (see below), whose sum is σ = 125974978507224. Its totient is φ = 80329634112000.

The previous prime is 101001989501873. The next prime is 101001989502053. The reversal of 101001989502025 is 520205989100101.

It can be written as a sum of positive squares in 12 ways, for example, as 15584911659529 + 85417077842496 = 3947773^2 + 9242136^2 .

It is not a de Polignac number, because 101001989502025 - 2²⁹ = 101001452631113 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1474212 + ... + 14289061.

It is an arithmetic number, because the mean of its divisors is an integer number (5248957437801).

Almost surely, 2^{101001989502025} is an apocalyptic number.

It is an amenable number.

101001989502025 is a deficient number, since it is larger than the sum of its proper divisors (24972989005199).

101001989502025 is a wasteful number, since it uses less digits than its factorization.

101001989502025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15764781 (or 15764776 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 43.

The spelling of 101001989502025 in words is "one hundred one trillion, one billion, nine hundred eighty-nine million, five hundred two thousand, twenty-five".