102202211111201 has 2 divisors, whose sum is σ = 102202211111202. Its totient is φ = 102202211111200.

The previous prime is 102202211111173. The next prime is 102202211111237. The reversal of 102202211111201 is 102111112202201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94415036227600 + 7787174883601 = 9716740^2 + 2790551^2 .

It is a cyclic number.

It is not a de Polignac number, because 102202211111201 - 2³⁴ = 102185031242017 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102202211111201.

It is not a weakly prime, because it can be changed into another prime (102202211111501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51101105555600 + 51101105555601.

It is an arithmetic number, because the mean of its divisors is an integer number (51101105555601).

Almost surely, 2^{102202211111201} is an apocalyptic number.

It is an amenable number.

102202211111201 is a deficient number, since it is larger than the sum of its proper divisors (1).

102202211111201 is an equidigital number, since it uses as much as digits as its factorization.

102202211111201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 102202211111201 its reverse (102111112202201), we get a palindrome (204313323313402).

The spelling of 102202211111201 in words is "one hundred two trillion, two hundred two billion, two hundred eleven million, one hundred eleven thousand, two hundred one".