2112122112021 has 6 divisors (see below), whose sum is σ = 3050843050710. Its totient is φ = 1408081408008.

The previous prime is 2112122112017. The next prime is 2112122112073. The reversal of 2112122112021 is 1202112212112.

It can be written as a sum of positive squares in only one way, i.e., 1532223108900 + 579899003121 = 1237830^2 + 761511^2 .

It is not a de Polignac number, because 2112122112021 - 2² = 2112122112017 is a prime.

It is a super-2 number, since 2×2112122112021² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112122111985 and 2112122112003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112122112521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 117340117326 + ... + 117340117343.

It is an arithmetic number, because the mean of its divisors is an integer number (508473841785).

Almost surely, 2^{2112122112021} is an apocalyptic number.

It is an amenable number.

2112122112021 is a deficient number, since it is larger than the sum of its proper divisors (938720938689).

2112122112021 is a wasteful number, since it uses less digits than its factorization.

2112122112021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234680234675 (or 234680234672 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 2112122112021 its reverse (1202112212112), we get a palindrome (3314234324133).

The spelling of 2112122112021 in words is "two trillion, one hundred twelve billion, one hundred twenty-two million, one hundred twelve thousand, twenty-one".