102212201295649 has 2 divisors, whose sum is σ = 102212201295650. Its totient is φ = 102212201295648.

The previous prime is 102212201295641. The next prime is 102212201295671. The reversal of 102212201295649 is 946592102212201.

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., 94937351216400 + 7274850079249 = 9743580^2 + 2697193^2 .

It is a cyclic number.

It is not a de Polignac number, because 102212201295649 - 2³ = 102212201295641 is a prime.

It is a super-3 number, since 3×102212201295649³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 102212201295599 and 102212201295608.

It is not a weakly prime, because it can be changed into another prime (102212201295641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51106100647824 + 51106100647825.

It is an arithmetic number, because the mean of its divisors is an integer number (51106100647825).

Almost surely, 2^{102212201295649} is an apocalyptic number.

It is an amenable number.

102212201295649 is a deficient number, since it is larger than the sum of its proper divisors (1).

102212201295649 is an equidigital number, since it uses as much as digits as its factorization.

102212201295649 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 311040, while the sum is 46.

The spelling of 102212201295649 in words is "one hundred two trillion, two hundred twelve billion, two hundred one million, two hundred ninety-five thousand, six hundred forty-nine".