112101202101209 has 2 divisors, whose sum is σ = 112101202101210. Its totient is φ = 112101202101208.

The previous prime is 112101202101157. The next prime is 112101202101211. The reversal of 112101202101209 is 902101202101211.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 107286921043600 + 4814281057609 = 10357940^2 + 2194147^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-112101202101209 is a prime.

It is a super-2 number, since 2×112101202101209² (a number of 29 digits) contains 22 as substring.

Together with 112101202101211, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (112101202101299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56050601050604 + 56050601050605.

It is an arithmetic number, because the mean of its divisors is an integer number (56050601050605).

Almost surely, 2^{112101202101209} is an apocalyptic number.

It is an amenable number.

112101202101209 is a deficient number, since it is larger than the sum of its proper divisors (1).

112101202101209 is an equidigital number, since it uses as much as digits as its factorization.

112101202101209 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 23.

The spelling of 112101202101209 in words is "one hundred twelve trillion, one hundred one billion, two hundred two million, one hundred one thousand, two hundred nine".