10155566510201 has 16 divisors (see below), whose sum is σ = 11795586428160. Its totient is φ = 8563389327360.

The previous prime is 10155566510197. The next prime is 10155566510209. The reversal of 10155566510201 is 10201566555101.

It is not a de Polignac number, because 10155566510201 - 2² = 10155566510197 is a prime.

It is a super-2 number, since 2×10155566510201² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10155566510209) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 22129256 + ... + 22583513.

It is an arithmetic number, because the mean of its divisors is an integer number (737224151760).

Almost surely, 2^{10155566510201} is an apocalyptic number.

It is an amenable number.

10155566510201 is a deficient number, since it is larger than the sum of its proper divisors (1640019917959).

10155566510201 is an equidigital number, since it uses as much as digits as its factorization.

10155566510201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44713304.

The product of its (nonzero) digits is 45000, while the sum is 38.

The spelling of 10155566510201 in words is "ten trillion, one hundred fifty-five billion, five hundred sixty-six million, five hundred ten thousand, two hundred one".