112201100202001 has 2 divisors, whose sum is σ = 112201100202002. Its totient is φ = 112201100202000.

The previous prime is 112201100201951. The next prime is 112201100202011. The reversal of 112201100202001 is 100202001102211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 112142826242001 + 58273960000 = 10589751^2 + 241400^2 .

It is a cyclic number.

It is not a de Polignac number, because 112201100202001 - 2¹⁹ = 112201099677713 is a prime.

It is not a weakly prime, because it can be changed into another prime (112201100202011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56100550101000 + 56100550101001.

It is an arithmetic number, because the mean of its divisors is an integer number (56100550101001).

Almost surely, 2^{112201100202001} is an apocalyptic number.

It is an amenable number.

112201100202001 is a deficient number, since it is larger than the sum of its proper divisors (1).

112201100202001 is an equidigital number, since it uses as much as digits as its factorization.

112201100202001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 112201100202001 its reverse (100202001102211), we get a palindrome (212403101304212).

The spelling of 112201100202001 in words is "one hundred twelve trillion, two hundred one billion, one hundred million, two hundred two thousand, one".