212112222211961 has 2 divisors, whose sum is σ = 212112222211962. Its totient is φ = 212112222211960.

The previous prime is 212112222211951. The next prime is 212112222212063. The reversal of 212112222211961 is 169112222211212.

212112222211961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 207618013009936 + 4494209202025 = 14408956^2 + 2119955^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-212112222211961 is a prime.

It is a super-2 number, since 2×212112222211961² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (212112222211951) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106056111105980 + 106056111105981.

It is an arithmetic number, because the mean of its divisors is an integer number (106056111105981).

Almost surely, 2^{212112222211961} is an apocalyptic number.

It is an amenable number.

212112222211961 is a deficient number, since it is larger than the sum of its proper divisors (1).

212112222211961 is an equidigital number, since it uses as much as digits as its factorization.

212112222211961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6912, while the sum is 35.

The spelling of 212112222211961 in words is "two hundred twelve trillion, one hundred twelve billion, two hundred twenty-two million, two hundred eleven thousand, nine hundred sixty-one".