102202022001137 has 2 divisors, whose sum is σ = 102202022001138. Its totient is φ = 102202022001136.

The previous prime is 102202022001019. The next prime is 102202022001169. The reversal of 102202022001137 is 731100220202201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101881548262321 + 320473738816 = 10093639^2 + 566104^2 .

It is a cyclic number.

It is not a de Polignac number, because 102202022001137 - 2⁴² = 97803975490033 is a prime.

It is a super-2 number, since 2×102202022001137² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102202022001337) 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, 51101011000568 + 51101011000569.

It is an arithmetic number, because the mean of its divisors is an integer number (51101011000569).

Almost surely, 2^{102202022001137} is an apocalyptic number.

It is an amenable number.

102202022001137 is a deficient number, since it is larger than the sum of its proper divisors (1).

102202022001137 is an equidigital number, since it uses as much as digits as its factorization.

102202022001137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 23.

Adding to 102202022001137 its reverse (731100220202201), we get a palindrome (833302242203338).

The spelling of 102202022001137 in words is "one hundred two trillion, two hundred two billion, twenty-two million, one thousand, one hundred thirty-seven".