2212117066201 has 12 divisors (see below), whose sum is σ = 2586612099252. Its totient is φ = 1886275980288.

The previous prime is 2212117066193. The next prime is 2212117066207. The reversal of 2212117066201 is 1026607112122.

It can be written as a sum of positive squares in 2 ways, for example, as 165729595801 + 2046387470400 = 407099^2 + 1430520^2 .

It is not a de Polignac number, because 2212117066201 - 2³ = 2212117066193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2212117066207) 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 11 ways as a sum of consecutive naturals, for example, 116947140 + ... + 116966053.

It is an arithmetic number, because the mean of its divisors is an integer number (215551008271).

Almost surely, 2^{2212117066201} is an apocalyptic number.

It is an amenable number.

2212117066201 is a deficient number, since it is larger than the sum of its proper divisors (374495033051).

2212117066201 is a wasteful number, since it uses less digits than its factorization.

2212117066201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233913400 (or 233913393 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The spelling of 2212117066201 in words is "two trillion, two hundred twelve billion, one hundred seventeen million, sixty-six thousand, two hundred one".