112122101222401 has 2 divisors, whose sum is σ = 112122101222402. Its totient is φ = 112122101222400.

The previous prime is 112122101222381. The next prime is 112122101222423. The reversal of 112122101222401 is 104222101221211.

It is an a-pointer prime, because the next prime (112122101222423) can be obtained adding 112122101222401 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79928052182001 + 32194049040400 = 8940249^2 + 5673980^2 .

It is a cyclic number.

It is not a de Polignac number, because 112122101222401 - 2³¹ = 112119953738753 is a prime.

It is not a weakly prime, because it can be changed into another prime (112122101022401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56061050611200 + 56061050611201.

It is an arithmetic number, because the mean of its divisors is an integer number (56061050611201).

Almost surely, 2^{112122101222401} is an apocalyptic number.

It is an amenable number.

112122101222401 is a deficient number, since it is larger than the sum of its proper divisors (1).

112122101222401 is an equidigital number, since it uses as much as digits as its factorization.

112122101222401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 112122101222401 its reverse (104222101221211), we get a palindrome (216344202443612).

The spelling of 112122101222401 in words is "one hundred twelve trillion, one hundred twenty-two billion, one hundred one million, two hundred twenty-two thousand, four hundred one".