10100085175001 has 24 divisors (see below), whose sum is σ = 10850497246680. Its totient is φ = 9398649249792.

The previous prime is 10100085174937. The next prime is 10100085175021. The reversal of 10100085175001 is 10057158000101.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 603610901776 + 9496474273225 = 776924^2 + 3081635^2 .

It is not a de Polignac number, because 10100085175001 - 2⁶ = 10100085174937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100085175021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28219595 + ... + 28575263.

It is an arithmetic number, because the mean of its divisors is an integer number (452104051945).

Almost surely, 2^{10100085175001} is an apocalyptic number.

It is an amenable number.

10100085175001 is a deficient number, since it is larger than the sum of its proper divisors (750412071679).

10100085175001 is a wasteful number, since it uses less digits than its factorization.

10100085175001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356813 (or 356796 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 29.

The spelling of 10100085175001 in words is "ten trillion, one hundred billion, eighty-five million, one hundred seventy-five thousand, one".