10121002199993 has 2 divisors, whose sum is σ = 10121002199994. Its totient is φ = 10121002199992.

The previous prime is 10121002199951. The next prime is 10121002200019. The reversal of 10121002199993 is 39999120012101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8667212544169 + 1453789655824 = 2944013^2 + 1205732^2 .

It is a cyclic number.

It is not a de Polignac number, because 10121002199993 - 2⁶ = 10121002199929 is a prime.

It is not a weakly prime, because it can be changed into another prime (10121002129993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060501099996 + 5060501099997.

It is an arithmetic number, because the mean of its divisors is an integer number (5060501099997).

Almost surely, 2^{10121002199993} is an apocalyptic number.

It is an amenable number.

10121002199993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121002199993 is an equidigital number, since it uses as much as digits as its factorization.

10121002199993 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 47.

The spelling of 10121002199993 in words is "ten trillion, one hundred twenty-one billion, two million, one hundred ninety-nine thousand, nine hundred ninety-three".