102022109585833 has 2 divisors, whose sum is σ = 102022109585834. Its totient is φ = 102022109585832.

The previous prime is 102022109585791. The next prime is 102022109585861. The reversal of 102022109585833 is 338585901220201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92957211010624 + 9064898575209 = 9641432^2 + 3010797^2 .

It is a cyclic number.

It is not a de Polignac number, because 102022109585833 - 2¹⁷ = 102022109454761 is a prime.

It is not a weakly prime, because it can be changed into another prime (102022109586833) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51011054792916 + 51011054792917.

It is an arithmetic number, because the mean of its divisors is an integer number (51011054792917).

Almost surely, 2^{102022109585833} is an apocalyptic number.

It is an amenable number.

102022109585833 is a deficient number, since it is larger than the sum of its proper divisors (1).

102022109585833 is an equidigital number, since it uses as much as digits as its factorization.

102022109585833 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1036800, while the sum is 49.

The spelling of 102022109585833 in words is "one hundred two trillion, twenty-two billion, one hundred nine million, five hundred eighty-five thousand, eight hundred thirty-three".