2200101001993 has 2 divisors, whose sum is σ = 2200101001994. Its totient is φ = 2200101001992.

The previous prime is 2200101001979. The next prime is 2200101002053. The reversal of 2200101001993 is 3991001010022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1864022245264 + 336078756729 = 1365292^2 + 579723^2 .

It is a cyclic number.

It is not a de Polignac number, because 2200101001993 - 2²⁵ = 2200067447561 is a prime.

It is not a weakly prime, because it can be changed into another prime (2200101101993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1100050500996 + 1100050500997.

It is an arithmetic number, because the mean of its divisors is an integer number (1100050500997).

Almost surely, 2^{2200101001993} is an apocalyptic number.

It is an amenable number.

2200101001993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2200101001993 is an equidigital number, since it uses as much as digits as its factorization.

2200101001993 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 28.

The spelling of 2200101001993 in words is "two trillion, two hundred billion, one hundred one million, one thousand, nine hundred ninety-three".