2112110122201 has 8 divisors (see below), whose sum is σ = 2114954136680. Its totient is φ = 2109266362368.

The previous prime is 2112110122163. The next prime is 2112110122207. The reversal of 2112110122201 is 1022210112112.

It can be written as a sum of positive squares in 4 ways, for example, as 6416010000 + 2105694112201 = 80100^2 + 1451101^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2112110122201 - 2³³ = 2103520187609 is a prime.

It is a super-2 number, since 2×2112110122201² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2112110122207) 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 in 7 ways as a sum of consecutive naturals, for example, 21341905 + ... + 21440641.

It is an arithmetic number, because the mean of its divisors is an integer number (264369267085).

Almost surely, 2^{2112110122201} is an apocalyptic number.

It is an amenable number.

2112110122201 is a deficient number, since it is larger than the sum of its proper divisors (2844014479).

2112110122201 is an equidigital number, since it uses as much as digits as its factorization.

2112110122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127323.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2112110122201 its reverse (1022210112112), we get a palindrome (3134320234313).

The spelling of 2112110122201 in words is "two trillion, one hundred twelve billion, one hundred ten million, one hundred twenty-two thousand, two hundred one".