100135833362525 has 12 divisors (see below), whose sum is σ = 124184197030452. Its totient is φ = 80098496586240.

The previous prime is 100135833362483. The next prime is 100135833362557. The reversal of 100135833362525 is 525263338531001.

It can be written as a sum of positive squares in 6 ways, for example, as 17853844595161 + 82281988767364 = 4225381^2 + 9070942^2 .

It is not a de Polignac number, because 100135833362525 - 2³⁸ = 99860955455581 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100135833362525.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 254051732 + ... + 254445581.

It is an arithmetic number, because the mean of its divisors is an integer number (10348683085871).

Almost surely, 2^{100135833362525} is an apocalyptic number.

It is an amenable number.

100135833362525 is a deficient number, since it is larger than the sum of its proper divisors (24048363667927).

100135833362525 is an equidigital number, since it uses as much as digits as its factorization.

100135833362525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508505200 (or 508505195 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 47.

The spelling of 100135833362525 in words is "one hundred trillion, one hundred thirty-five billion, eight hundred thirty-three million, three hundred sixty-two thousand, five hundred twenty-five".