212202009961 has 2 divisors, whose sum is σ = 212202009962. Its totient is φ = 212202009960.

The previous prime is 212202009917. The next prime is 212202010037. The reversal of 212202009961 is 169900202212.

212202009961 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., 175545078361 + 36656931600 = 418981^2 + 191460^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-212202009961 is a prime.

It is not a weakly prime, because it can be changed into another prime (212202009661) 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 as a sum of consecutive naturals, namely, 106101004980 + 106101004981.

It is an arithmetic number, because the mean of its divisors is an integer number (106101004981).

Almost surely, 2^212202009961 is an apocalyptic number.

It is an amenable number.

212202009961 is a deficient number, since it is larger than the sum of its proper divisors (1).

212202009961 is an equidigital number, since it uses as much as digits as its factorization.

212202009961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 34.

The spelling of 212202009961 in words is "two hundred twelve billion, two hundred two million, nine thousand, nine hundred sixty-one".