2110312102201 has 2 divisors, whose sum is σ = 2110312102202. Its totient is φ = 2110312102200.

The previous prime is 2110312102189. The next prime is 2110312102271. The reversal of 2110312102201 is 1022012130112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2107502572176 + 2809530025 = 1451724^2 + 53005^2 .

It is a cyclic number.

It is not a de Polignac number, because 2110312102201 - 2³⁵ = 2075952363833 is a prime.

It is not a weakly prime, because it can be changed into another prime (2110312102271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055156051100 + 1055156051101.

It is an arithmetic number, because the mean of its divisors is an integer number (1055156051101).

Almost surely, 2^{2110312102201} is an apocalyptic number.

It is an amenable number.

2110312102201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2110312102201 is an equidigital number, since it uses as much as digits as its factorization.

2110312102201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 2110312102201 its reverse (1022012130112), we get a palindrome (3132324232313).

The spelling of 2110312102201 in words is "two trillion, one hundred ten billion, three hundred twelve million, one hundred two thousand, two hundred one".