202122112112209 has 2 divisors, whose sum is σ = 202122112112210. Its totient is φ = 202122112112208.

The previous prime is 202122112112203. The next prime is 202122112112269. The reversal of 202122112112209 is 902211211221202.

202122112112209 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 128538792875025 + 73583319237184 = 11337495^2 + 8578072^2 .

It is a cyclic number.

It is not a de Polignac number, because 202122112112209 - 2¹¹ = 202122112110161 is a prime.

It is not a weakly prime, because it can be changed into another prime (202122112112203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101061056056104 + 101061056056105.

It is an arithmetic number, because the mean of its divisors is an integer number (101061056056105).

Almost surely, 2^{202122112112209} is an apocalyptic number.

It is an amenable number.

202122112112209 is a deficient number, since it is larger than the sum of its proper divisors (1).

202122112112209 is an equidigital number, since it uses as much as digits as its factorization.

202122112112209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 28.

The spelling of 202122112112209 in words is "two hundred two trillion, one hundred twenty-two billion, one hundred twelve million, one hundred twelve thousand, two hundred nine".