2112011222101 has 8 divisors (see below), whose sum is σ = 2336463119808. Its totient is φ = 1892967804000.

The previous prime is 2112011221993. The next prime is 2112011222117. The reversal of 2112011222101 is 1012221102112.

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 2112011222101 - 2⁹ = 2112011221589 is a prime.

It is a super-3 number, since 3×2112011222101³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112051222101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1352119080 + ... + 1352120641.

It is an arithmetic number, because the mean of its divisors is an integer number (292057889976).

Almost surely, 2^{2112011222101} is an apocalyptic number.

It is an amenable number.

2112011222101 is a deficient number, since it is larger than the sum of its proper divisors (224451897707).

2112011222101 is a wasteful number, since it uses less digits than its factorization.

2112011222101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2704239803.

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

Adding to 2112011222101 its reverse (1012221102112), we get a palindrome (3124232324213).

The spelling of 2112011222101 in words is "two trillion, one hundred twelve billion, eleven million, two hundred twenty-two thousand, one hundred one".