112022011122101 has 2 divisors, whose sum is σ = 112022011122102. Its totient is φ = 112022011122100.

The previous prime is 112022011122071. The next prime is 112022011122121. The reversal of 112022011122101 is 101221110220211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108638949846001 + 3383061276100 = 10423001^2 + 1839310^2 .

It is a cyclic number.

It is not a de Polignac number, because 112022011122101 - 2²⁶ = 112021944013237 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 112022011122101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112022011122121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56011005561050 + 56011005561051.

It is an arithmetic number, because the mean of its divisors is an integer number (56011005561051).

Almost surely, 2^{112022011122101} is an apocalyptic number.

It is an amenable number.

112022011122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

112022011122101 is an equidigital number, since it uses as much as digits as its factorization.

112022011122101 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 112022011122101 its reverse (101221110220211), we get a palindrome (213243121342312).

The spelling of 112022011122101 in words is "one hundred twelve trillion, twenty-two billion, eleven million, one hundred twenty-two thousand, one hundred one".