102122010591833 has 2 divisors, whose sum is σ = 102122010591834. Its totient is φ = 102122010591832.

The previous prime is 102122010591817. The next prime is 102122010591869. The reversal of 102122010591833 is 338195010221201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97815007681609 + 4307002910224 = 9890147^2 + 2075332^2 .

It is a cyclic number.

It is not a de Polignac number, because 102122010591833 - 2⁴ = 102122010591817 is a prime.

It is not a weakly prime, because it can be changed into another prime (102122010596833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51061005295916 + 51061005295917.

It is an arithmetic number, because the mean of its divisors is an integer number (51061005295917).

Almost surely, 2^{102122010591833} is an apocalyptic number.

It is an amenable number.

102122010591833 is a deficient number, since it is larger than the sum of its proper divisors (1).

102122010591833 is an equidigital number, since it uses as much as digits as its factorization.

102122010591833 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25920, while the sum is 38.

The spelling of 102122010591833 in words is "one hundred two trillion, one hundred twenty-two billion, ten million, five hundred ninety-one thousand, eight hundred thirty-three".