112201212122101 has 2 divisors, whose sum is σ = 112201212122102. Its totient is φ = 112201212122100.

The previous prime is 112201212122071. The next prime is 112201212122221. The reversal of 112201212122101 is 101221212102211.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 111784734208900 + 416477913201 = 10572830^2 + 645351^2 .

It is a cyclic number.

It is not a de Polignac number, because 112201212122101 - 2²⁷ = 112201077904373 is a prime.

It is a super-2 number, since 2×112201212122101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112201212129101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56100606061050 + 56100606061051.

It is an arithmetic number, because the mean of its divisors is an integer number (56100606061051).

Almost surely, 2^{112201212122101} is an apocalyptic number.

It is an amenable number.

112201212122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

112201212122101 is an equidigital number, since it uses as much as digits as its factorization.

112201212122101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 112201212122101 its reverse (101221212102211), we get a palindrome (213422424224312).

The spelling of 112201212122101 in words is "one hundred twelve trillion, two hundred one billion, two hundred twelve million, one hundred twenty-two thousand, one hundred one".