212202001972657 has 2 divisors, whose sum is σ = 212202001972658. Its totient is φ = 212202001972656.

The previous prime is 212202001972613. The next prime is 212202001972661. The reversal of 212202001972657 is 756279100202212.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 172169668366336 + 40032333606321 = 13121344^2 + 6327111^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-212202001972657 is a prime.

It is not a weakly prime, because it can be changed into another prime (212202001973657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106101000986328 + 106101000986329.

It is an arithmetic number, because the mean of its divisors is an integer number (106101000986329).

Almost surely, 2^{212202001972657} is an apocalyptic number.

It is an amenable number.

212202001972657 is a deficient number, since it is larger than the sum of its proper divisors (1).

212202001972657 is an equidigital number, since it uses as much as digits as its factorization.

212202001972657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 423360, while the sum is 46.

The spelling of 212202001972657 in words is "two hundred twelve trillion, two hundred two billion, one million, nine hundred seventy-two thousand, six hundred fifty-seven".