101012002001993 has 2 divisors, whose sum is σ = 101012002001994. Its totient is φ = 101012002001992.

The previous prime is 101012002001947. The next prime is 101012002002011. The reversal of 101012002001993 is 399100200210101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73903818273289 + 27108183728704 = 8596733^2 + 5206552^2 .

It is a cyclic number.

It is not a de Polignac number, because 101012002001993 - 2²⁰ = 101012000953417 is a prime.

It is not a weakly prime, because it can be changed into another prime (101012002001903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506001000996 + 50506001000997.

It is an arithmetic number, because the mean of its divisors is an integer number (50506001000997).

Almost surely, 2^{101012002001993} is an apocalyptic number.

It is an amenable number.

101012002001993 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012002001993 is an equidigital number, since it uses as much as digits as its factorization.

101012002001993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 29.

The spelling of 101012002001993 in words is "one hundred one trillion, twelve billion, two million, one thousand, nine hundred ninety-three".