10211556345201 has 16 divisors (see below), whose sum is σ = 15130817437120. Its totient is φ = 6806540613600.

The previous prime is 10211556345181. The next prime is 10211556345239. The reversal of 10211556345201 is 10254365511201.

10211556345201 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 15 + 5 + 634 + 5 + 2 + 0 + 1 = 666.

It is not a de Polignac number, because 10211556345201 - 2⁷ = 10211556345073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10211556345271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32161780 + ... + 32477733.

It is an arithmetic number, because the mean of its divisors is an integer number (945676089820).

Almost surely, 2^{10211556345201} is an apocalyptic number.

It is an amenable number.

10211556345201 is a deficient number, since it is larger than the sum of its proper divisors (4919261091919).

10211556345201 is an equidigital number, since it uses as much as digits as its factorization.

10211556345201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64645373 (or 64645367 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 10211556345201 in words is "ten trillion, two hundred eleven billion, five hundred fifty-six million, three hundred forty-five thousand, two hundred one".