102001993 has 2 divisors, whose sum is σ = 102001994. Its totient is φ = 102001992.

The previous prime is 102001981. The next prime is 102002003. The reversal of 102001993 is 399100201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92217609 + 9784384 = 9603^2 + 3128^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102001993 is a prime.

It is not a weakly prime, because it can be changed into another prime (102001693) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51000996 + 51000997.

It is an arithmetic number, because the mean of its divisors is an integer number (51000997).

Almost surely, 2^102001993 is an apocalyptic number.

It is an amenable number.

102001993 is a deficient number, since it is larger than the sum of its proper divisors (1).

102001993 is an equidigital number, since it uses as much as digits as its factorization.

102001993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 25.

The square root of 102001993 is about 10099.6036060828. The cubic root of 102001993 is about 467.2359159370.

The spelling of 102001993 in words is "one hundred two million, one thousand, nine hundred ninety-three".