112100122101001 has 2 divisors, whose sum is σ = 112100122101002. Its totient is φ = 112100122101000.

The previous prime is 112100122100957. The next prime is 112100122101113. The reversal of 112100122101001 is 100101221001211.

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., 101948379108601 + 10151742992400 = 10096949^2 + 3186180^2 .

It is a cyclic number.

It is not a de Polignac number, because 112100122101001 - 2⁷ = 112100122100873 is a prime.

It is not a weakly prime, because it can be changed into another prime (112100122104001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56050061050500 + 56050061050501.

It is an arithmetic number, because the mean of its divisors is an integer number (56050061050501).

Almost surely, 2^{112100122101001} is an apocalyptic number.

It is an amenable number.

112100122101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

112100122101001 is an equidigital number, since it uses as much as digits as its factorization.

112100122101001 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 112100122101001 its reverse (100101221001211), we get a palindrome (212201343102212).

The spelling of 112100122101001 in words is "one hundred twelve trillion, one hundred billion, one hundred twenty-two million, one hundred one thousand, one".