10250166105201 has 16 divisors (see below), whose sum is σ = 14975012406528. Its totient is φ = 6184855261200.

The previous prime is 10250166105199. The next prime is 10250166105233.

10250166105201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10250166105201 - 2¹ = 10250166105199 is a prime.

It is a super-2 number, since 2×10250166105201² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10250166109201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 684157915 + ... + 684172896.

It is an arithmetic number, because the mean of its divisors is an integer number (935938275408).

Almost surely, 2^{10250166105201} is an apocalyptic number.

10250166105201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10250166105201 is a deficient number, since it is larger than the sum of its proper divisors (4724846301327).

10250166105201 is a wasteful number, since it uses less digits than its factorization.

10250166105201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368331052.

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

The spelling of 10250166105201 in words is "ten trillion, two hundred fifty billion, one hundred sixty-six million, one hundred five thousand, two hundred one".