2122122202031 has 16 divisors (see below), whose sum is σ = 2440184710656. Its totient is φ = 1830138510816.

The previous prime is 2122122202027. The next prime is 2122122202049. The reversal of 2122122202031 is 1302022212212.

It is a cyclic number.

It is not a de Polignac number, because 2122122202031 - 2² = 2122122202027 is a prime.

It is a super-3 number, since 3×2122122202031³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2122122201994 and 2122122202012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122122202021) 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 15 ways as a sum of consecutive naturals, for example, 82515035 + ... + 82540748.

It is an arithmetic number, because the mean of its divisors is an integer number (152511544416).

Almost surely, 2^{2122122202031} is an apocalyptic number.

2122122202031 is a deficient number, since it is larger than the sum of its proper divisors (318062508625).

2122122202031 is a wasteful number, since it uses less digits than its factorization.

2122122202031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165055862.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 2122122202031 its reverse (1302022212212), we get a palindrome (3424144414243).

The spelling of 2122122202031 in words is "two trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred two thousand, thirty-one".