102121002119993 has 2 divisors, whose sum is σ = 102121002119994. Its totient is φ = 102121002119992.

The previous prime is 102121002119977. The next prime is 102121002120023. The reversal of 102121002119993 is 399911200121201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86597969474809 + 15523032645184 = 9305803^2 + 3939928^2 .

It is a cyclic number.

It is not a de Polignac number, because 102121002119993 - 2⁴ = 102121002119977 is a prime.

It is a super-2 number, since 2×102121002119993² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102121002119993.

It is not a weakly prime, because it can be changed into another prime (102121002119293) 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, 51060501059996 + 51060501059997.

It is an arithmetic number, because the mean of its divisors is an integer number (51060501059997).

Almost surely, 2^{102121002119993} is an apocalyptic number.

It is an amenable number.

102121002119993 is a deficient number, since it is larger than the sum of its proper divisors (1).

102121002119993 is an equidigital number, since it uses as much as digits as its factorization.

102121002119993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17496, while the sum is 41.

The spelling of 102121002119993 in words is "one hundred two trillion, one hundred twenty-one billion, two million, one hundred nineteen thousand, nine hundred ninety-three".