212101202100091 has 2 divisors, whose sum is σ = 212101202100092. Its totient is φ = 212101202100090.

The previous prime is 212101202100023. The next prime is 212101202100131. The reversal of 212101202100091 is 190001202101212.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 212101202100091 - 2²⁹ = 212100665229179 is a prime.

It is not a weakly prime, because it can be changed into another prime (212101202160091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106050601050045 + 106050601050046.

It is an arithmetic number, because the mean of its divisors is an integer number (106050601050046).

Almost surely, 2^{212101202100091} is an apocalyptic number.

212101202100091 is a deficient number, since it is larger than the sum of its proper divisors (1).

212101202100091 is an equidigital number, since it uses as much as digits as its factorization.

212101202100091 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 212101202100091 in words is "two hundred twelve trillion, one hundred one billion, two hundred two million, one hundred thousand, ninety-one".