100801050585025 has 48 divisors (see below), whose sum is σ = 151323386647680. Its totient is φ = 65024263756800.

The previous prime is 100801050585019. The next prime is 100801050585097. The reversal of 100801050585025 is 520585050108001.

It is not a de Polignac number, because 100801050585025 - 2¹⁷ = 100801050453953 is a prime.

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 47 ways as a sum of consecutive naturals, for example, 1610230 + ... + 14289679.

It is an arithmetic number, because the mean of its divisors is an integer number (3152570555160).

Almost surely, 2^{100801050585025} is an apocalyptic number.

It is an amenable number.

100801050585025 is a deficient number, since it is larger than the sum of its proper divisors (50522336062655).

100801050585025 is a wasteful number, since it uses less digits than its factorization.

100801050585025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15902074 (or 15902069 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 40.

The spelling of 100801050585025 in words is "one hundred trillion, eight hundred one billion, fifty million, five hundred eighty-five thousand, twenty-five".