102012020101993 has 2 divisors, whose sum is σ = 102012020101994. Its totient is φ = 102012020101992.

The previous prime is 102012020101931. The next prime is 102012020102009. The reversal of 102012020101993 is 399101020210201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86903468773209 + 15108551328784 = 9322203^2 + 3886972^2 .

It is a cyclic number.

It is not a de Polignac number, because 102012020101993 - 2³⁷ = 101874581148521 is a prime.

It is not a weakly prime, because it can be changed into another prime (102012020101903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51006010050996 + 51006010050997.

It is an arithmetic number, because the mean of its divisors is an integer number (51006010050997).

Almost surely, 2^{102012020101993} is an apocalyptic number.

It is an amenable number.

102012020101993 is a deficient number, since it is larger than the sum of its proper divisors (1).

102012020101993 is an equidigital number, since it uses as much as digits as its factorization.

102012020101993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 31.

The spelling of 102012020101993 in words is "one hundred two trillion, twelve billion, twenty million, one hundred one thousand, nine hundred ninety-three".