102102121993 has 2 divisors, whose sum is σ = 102102121994. Its totient is φ = 102102121992.

The previous prime is 102102121981. The next prime is 102102121997. The reversal of 102102121993 is 399121201201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99497346624 + 2604775369 = 315432^2 + 51037^2 .

It is a cyclic number.

It is not a de Polignac number, because 102102121993 - 2²¹ = 102100024841 is a prime.

It is not a weakly prime, because it can be changed into another prime (102102121997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51051060996 + 51051060997.

It is an arithmetic number, because the mean of its divisors is an integer number (51051060997).

Almost surely, 2^102102121993 is an apocalyptic number.

It is an amenable number.

102102121993 is a deficient number, since it is larger than the sum of its proper divisors (1).

102102121993 is an equidigital number, since it uses as much as digits as its factorization.

102102121993 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 102102121993 in words is "one hundred two billion, one hundred two million, one hundred twenty-one thousand, nine hundred ninety-three".