2122121032031 has 32 divisors (see below), whose sum is σ = 3016886197248. Its totient is φ = 1436612451840.

The previous prime is 2122121031977. The next prime is 2122121032033. The reversal of 2122121032031 is 1302301212212.

It is a cyclic number.

It is not a de Polignac number, because 2122121032031 - 2¹⁰ = 2122121031007 is a prime.

It is a super-2 number, since 2×2122121032031² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2122121031994 and 2122121032012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122121032033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62335955 + ... + 62369988.

It is an arithmetic number, because the mean of its divisors is an integer number (94277693664).

Almost surely, 2^{2122121032031} is an apocalyptic number.

2122121032031 is a deficient number, since it is larger than the sum of its proper divisors (894765165217).

2122121032031 is a wasteful number, since it uses less digits than its factorization.

2122121032031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124705991.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 2122121032031 its reverse (1302301212212), we get a palindrome (3424422244243).

The spelling of 2122121032031 in words is "two trillion, one hundred twenty-two billion, one hundred twenty-one million, thirty-two thousand, thirty-one".