102202210102981 has 2 divisors, whose sum is σ = 102202210102982. Its totient is φ = 102202210102980.

The previous prime is 102202210102903. The next prime is 102202210103009. The reversal of 102202210102981 is 189201012202201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100467865969956 + 1734344133025 = 10023366^2 + 1316945^2 .

It is a cyclic number.

It is not a de Polignac number, because 102202210102981 - 2¹⁷ = 102202209971909 is a prime.

It is a super-2 number, since 2×102202210102981² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102202210105981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51101105051490 + 51101105051491.

It is an arithmetic number, because the mean of its divisors is an integer number (51101105051491).

Almost surely, 2^{102202210102981} is an apocalyptic number.

It is an amenable number.

102202210102981 is a deficient number, since it is larger than the sum of its proper divisors (1).

102202210102981 is an equidigital number, since it uses as much as digits as its factorization.

102202210102981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 31.

The spelling of 102202210102981 in words is "one hundred two trillion, two hundred two billion, two hundred ten million, one hundred two thousand, nine hundred eighty-one".