112022111000101 has 2 divisors, whose sum is σ = 112022111000102. Its totient is φ = 112022111000100.

The previous prime is 112022111000071. The next prime is 112022111000123. The reversal of 112022111000101 is 101000111220211.

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., 103500814396225 + 8521296603876 = 10173535^2 + 2919126^2 .

It is a cyclic number.

It is not a de Polignac number, because 112022111000101 - 2¹⁹ = 112022110475813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112022111000141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56011055500050 + 56011055500051.

It is an arithmetic number, because the mean of its divisors is an integer number (56011055500051).

Almost surely, 2^{112022111000101} is an apocalyptic number.

It is an amenable number.

112022111000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

112022111000101 is an equidigital number, since it uses as much as digits as its factorization.

112022111000101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 112022111000101 its reverse (101000111220211), we get a palindrome (213022222220312).

The spelling of 112022111000101 in words is "one hundred twelve trillion, twenty-two billion, one hundred eleven million, one hundred one", and thus it is an aban number.