212202112199153 has 2 divisors, whose sum is σ = 212202112199154. Its totient is φ = 212202112199152.

The previous prime is 212202112199059. The next prime is 212202112199159. The reversal of 212202112199153 is 351991211202212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 211960055087104 + 242057112049 = 14558848^2 + 491993^2 .

It is a cyclic number.

It is not a de Polignac number, because 212202112199153 - 2⁸ = 212202112198897 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212202112199153.

It is not a weakly prime, because it can be changed into another prime (212202112199159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106101056099576 + 106101056099577.

It is an arithmetic number, because the mean of its divisors is an integer number (106101056099577).

Almost surely, 2^{212202112199153} is an apocalyptic number.

It is an amenable number.

212202112199153 is a deficient number, since it is larger than the sum of its proper divisors (1).

212202112199153 is an equidigital number, since it uses as much as digits as its factorization.

212202112199153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38880, while the sum is 41.

The spelling of 212202112199153 in words is "two hundred twelve trillion, two hundred two billion, one hundred twelve million, one hundred ninety-nine thousand, one hundred fifty-three".