10052166125001 has 144 divisors (see below), whose sum is σ = 19218247971840. Its totient is φ = 4610641875840.

The previous prime is 10052166124999. The next prime is 10052166125011.

10052166125001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10052166125001 - 2¹ = 10052166124999 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10052166125001.

It is not an unprimeable number, because it can be changed into a prime (10052166125011) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5485620 + ... + 7084938.

It is an arithmetic number, because the mean of its divisors is an integer number (133460055360).

Almost surely, 2^{10052166125001} is an apocalyptic number.

10052166125001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10052166125001 is a deficient number, since it is larger than the sum of its proper divisors (9166081846839).

10052166125001 is a wasteful number, since it uses less digits than its factorization.

10052166125001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1599396 (or 1599376 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The spelling of 10052166125001 in words is "ten trillion, fifty-two billion, one hundred sixty-six million, one hundred twenty-five thousand, one".