102122020199993 has 2 divisors, whose sum is σ = 102122020199994. Its totient is φ = 102122020199992.

The previous prime is 102122020199987. The next prime is 102122020200041. The reversal of 102122020199993 is 399991020221201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85252665498169 + 16869354701824 = 9233237^2 + 4107232^2 .

It is a cyclic number.

It is not a de Polignac number, because 102122020199993 - 2²² = 102122016005689 is a prime.

It is not a weakly prime, because it can be changed into another prime (102122020193993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51061010099996 + 51061010099997.

It is an arithmetic number, because the mean of its divisors is an integer number (51061010099997).

Almost surely, 2^{102122020199993} is an apocalyptic number.

It is an amenable number.

102122020199993 is a deficient number, since it is larger than the sum of its proper divisors (1).

102122020199993 is an equidigital number, since it uses as much as digits as its factorization.

102122020199993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 314928, while the sum is 50.

The spelling of 102122020199993 in words is "one hundred two trillion, one hundred twenty-two billion, twenty million, one hundred ninety-nine thousand, nine hundred ninety-three".