2112022002101 has 8 divisors (see below), whose sum is σ = 2304035814144. Its totient is φ = 1920010158720.

The previous prime is 2112022002089. The next prime is 2112022002107. The reversal of 2112022002101 is 1012002202112.

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 2112022002101 - 2³⁰ = 2110948260277 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112022002107) 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, 2590565 + ... + 3306821.

It is an arithmetic number, because the mean of its divisors is an integer number (288004476768).

Almost surely, 2^{2112022002101} is an apocalyptic number.

It is an amenable number.

2112022002101 is a deficient number, since it is larger than the sum of its proper divisors (192013812043).

2112022002101 is a wasteful number, since it uses less digits than its factorization.

2112022002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984331.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2112022002101 its reverse (1012002202112), we get a palindrome (3124024204213).

The spelling of 2112022002101 in words is "two trillion, one hundred twelve billion, twenty-two million, two thousand, one hundred one".