112103022100001 has 2 divisors, whose sum is σ = 112103022100002. Its totient is φ = 112103022100000.

The previous prime is 112103022099977. The next prime is 112103022100007. The reversal of 112103022100001 is 100001220301211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103110214662400 + 8992807437601 = 10154320^2 + 2998801^2 .

It is a cyclic number.

It is not a de Polignac number, because 112103022100001 - 2¹⁸ = 112103021837857 is a prime.

It is not a weakly prime, because it can be changed into another prime (112103022100007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56051511050000 + 56051511050001.

It is an arithmetic number, because the mean of its divisors is an integer number (56051511050001).

Almost surely, 2^{112103022100001} is an apocalyptic number.

It is an amenable number.

112103022100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

112103022100001 is an equidigital number, since it uses as much as digits as its factorization.

112103022100001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 112103022100001 its reverse (100001220301211), we get a palindrome (212104242401212).

The spelling of 112103022100001 in words is "one hundred twelve trillion, one hundred three billion, twenty-two million, one hundred thousand, one".