102010200199993 has 2 divisors, whose sum is σ = 102010200199994. Its totient is φ = 102010200199992.

The previous prime is 102010200199981. The next prime is 102010200200009. The reversal of 102010200199993 is 399991002010201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95913582428304 + 6096617771689 = 9793548^2 + 2469133^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102010200199993 is a prime.

It is not a weakly prime, because it can be changed into another prime (102010200199793) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51005100099996 + 51005100099997.

It is an arithmetic number, because the mean of its divisors is an integer number (51005100099997).

Almost surely, 2^{102010200199993} is an apocalyptic number.

It is an amenable number.

102010200199993 is a deficient number, since it is larger than the sum of its proper divisors (1).

102010200199993 is an equidigital number, since it uses as much as digits as its factorization.

102010200199993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 78732, while the sum is 46.

The spelling of 102010200199993 in words is "one hundred two trillion, ten billion, two hundred million, one hundred ninety-nine thousand, nine hundred ninety-three".