2212201999961 has 2 divisors, whose sum is σ = 2212201999962. Its totient is φ = 2212201999960.

The previous prime is 2212201999951. The next prime is 2212202000059. The reversal of 2212201999961 is 1699991022122.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1556458351561 + 655743648400 = 1247581^2 + 809780^2 .

It is a cyclic number.

It is not a de Polignac number, because 2212201999961 - 2¹⁴ = 2212201983577 is a prime.

It is not a weakly prime, because it can be changed into another prime (2212201999921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1106100999980 + 1106100999981.

It is an arithmetic number, because the mean of its divisors is an integer number (1106100999981).

Almost surely, 2^{2212201999961} is an apocalyptic number.

It is an amenable number.

2212201999961 is a deficient number, since it is larger than the sum of its proper divisors (1).

2212201999961 is an equidigital number, since it uses as much as digits as its factorization.

2212201999961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 629856, while the sum is 53.

The spelling of 2212201999961 in words is "two trillion, two hundred twelve billion, two hundred one million, nine hundred ninety-nine thousand, nine hundred sixty-one".