202100123212993 has 2 divisors, whose sum is σ = 202100123212994. Its totient is φ = 202100123212992.

The previous prime is 202100123212987. The next prime is 202100123213081. The reversal of 202100123212993 is 399212321001202.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 130464094279744 + 71636028933249 = 11422088^2 + 8463807^2 .

It is a cyclic number.

It is not a de Polignac number, because 202100123212993 - 2¹³ = 202100123204801 is a prime.

It is not a weakly prime, because it can be changed into another prime (202100123212093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101050061606496 + 101050061606497.

It is an arithmetic number, because the mean of its divisors is an integer number (101050061606497).

Almost surely, 2^{202100123212993} is an apocalyptic number.

It is an amenable number.

202100123212993 is a deficient number, since it is larger than the sum of its proper divisors (1).

202100123212993 is an equidigital number, since it uses as much as digits as its factorization.

202100123212993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 37.

The spelling of 202100123212993 in words is "two hundred two trillion, one hundred billion, one hundred twenty-three million, two hundred twelve thousand, nine hundred ninety-three".