2101010021993 has 2 divisors, whose sum is σ = 2101010021994. Its totient is φ = 2101010021992.

The previous prime is 2101010021989. The next prime is 2101010022019. The reversal of 2101010021993 is 3991200101012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1951868850649 + 149141171344 = 1397093^2 + 386188^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101010021993 - 2² = 2101010021989 is a prime.

It is a super-2 number, since 2×2101010021993² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2101010021933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050505010996 + 1050505010997.

It is an arithmetic number, because the mean of its divisors is an integer number (1050505010997).

Almost surely, 2^{2101010021993} is an apocalyptic number.

It is an amenable number.

2101010021993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101010021993 is an equidigital number, since it uses as much as digits as its factorization.

2101010021993 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 2101010021993 in words is "two trillion, one hundred one billion, ten million, twenty-one thousand, nine hundred ninety-three".