2102435513125 has 20 divisors (see below), whose sum is σ = 2627557696764. Its totient is φ = 1681721600000.

The previous prime is 2102435513117. The next prime is 2102435513137. The reversal of 2102435513125 is 5213155342012.

It can be written as a sum of positive squares in 10 ways, for example, as 1808201953636 + 294233559489 = 1344694^2 + 542433^2 .

It is not a de Polignac number, because 2102435513125 - 2³ = 2102435513117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4490085 + ... + 4936165.

Almost surely, 2^{2102435513125} is an apocalyptic number.

2102435513125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2102435513125 is a deficient number, since it is larger than the sum of its proper divisors (525122183639).

2102435513125 is an frugal number, since it uses more digits than its factorization.

2102435513125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453642 (or 453627 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The spelling of 2102435513125 in words is "two trillion, one hundred two billion, four hundred thirty-five million, five hundred thirteen thousand, one hundred twenty-five".