2101002232993 has 2 divisors, whose sum is σ = 2101002232994. Its totient is φ = 2101002232992.

The previous prime is 2101002232991. The next prime is 2101002233039. The reversal of 2101002232993 is 3992322001012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1519371786384 + 581630446609 = 1232628^2 + 762647^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101002232993 - 2¹ = 2101002232991 is a prime.

Together with 2101002232991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2101002232991) 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, 1050501116496 + 1050501116497.

It is an arithmetic number, because the mean of its divisors is an integer number (1050501116497).

Almost surely, 2^{2101002232993} is an apocalyptic number.

It is an amenable number.

2101002232993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101002232993 is an equidigital number, since it uses as much as digits as its factorization.

2101002232993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 34.

The spelling of 2101002232993 in words is "two trillion, one hundred one billion, two million, two hundred thirty-two thousand, nine hundred ninety-three".