100217362540225 has 24 divisors (see below), whose sum is σ = 142034543546688. Its totient is φ = 68714562302400.

The previous prime is 100217362540219. The next prime is 100217362540231. The reversal of 100217362540225 is 522045263712001.

It is an interprime number because it is at equal distance from previous prime (100217362540219) and next prime (100217362540231).

It is not a de Polignac number, because 100217362540225 - 2⁵ = 100217362540193 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 23 ways as a sum of consecutive naturals, for example, 22605799 + ... + 26673148.

It is an arithmetic number, because the mean of its divisors is an integer number (5918105981112).

Almost surely, 2^{100217362540225} is an apocalyptic number.

It is an amenable number.

100217362540225 is a deficient number, since it is larger than the sum of its proper divisors (41817181006463).

100217362540225 is a wasteful number, since it uses less digits than its factorization.

100217362540225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49290585 (or 49290580 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 100217362540225 in words is "one hundred trillion, two hundred seventeen billion, three hundred sixty-two million, five hundred forty thousand, two hundred twenty-five".