112122100201121 has 2 divisors, whose sum is σ = 112122100201122. Its totient is φ = 112122100201120.

The previous prime is 112122100201117. The next prime is 112122100201123. The reversal of 112122100201121 is 121102001221211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109399864194721 + 2722236006400 = 10459439^2 + 1649920^2 .

It is a cyclic number.

It is not a de Polignac number, because 112122100201121 - 2² = 112122100201117 is a prime.

Together with 112122100201123, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 112122100201121.

It is not a weakly prime, because it can be changed into another prime (112122100201123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56061050100560 + 56061050100561.

It is an arithmetic number, because the mean of its divisors is an integer number (56061050100561).

Almost surely, 2^{112122100201121} is an apocalyptic number.

It is an amenable number.

112122100201121 is a deficient number, since it is larger than the sum of its proper divisors (1).

112122100201121 is an equidigital number, since it uses as much as digits as its factorization.

112122100201121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 112122100201121 its reverse (121102001221211), we get a palindrome (233224101422332).

The spelling of 112122100201121 in words is "one hundred twelve trillion, one hundred twenty-two billion, one hundred million, two hundred one thousand, one hundred twenty-one".