202112011202249 has 2 divisors, whose sum is σ = 202112011202250. Its totient is φ = 202112011202248.

The previous prime is 202112011202197. The next prime is 202112011202263. The reversal of 202112011202249 is 942202110211202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 198792939366025 + 3319071836224 = 14099395^2 + 1821832^2 .

It is a cyclic number.

It is not a de Polignac number, because 202112011202249 - 2⁸ = 202112011201993 is a prime.

It is not a weakly prime, because it can be changed into another prime (202112011204249) 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, 101056005601124 + 101056005601125.

It is an arithmetic number, because the mean of its divisors is an integer number (101056005601125).

Almost surely, 2^{202112011202249} is an apocalyptic number.

It is an amenable number.

202112011202249 is a deficient number, since it is larger than the sum of its proper divisors (1).

202112011202249 is an equidigital number, since it uses as much as digits as its factorization.

202112011202249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 29.

The spelling of 202112011202249 in words is "two hundred two trillion, one hundred twelve billion, eleven million, two hundred two thousand, two hundred forty-nine".