2122112021121 has 20 divisors (see below), whose sum is σ = 3170264288752. Its totient is φ = 1414654004088.

The previous prime is 2122112021119. The next prime is 2122112021123. The reversal of 2122112021121 is 1211202112212.

It is an interprime number because it is at equal distance from previous prime (2122112021119) and next prime (2122112021123).

It is not a de Polignac number, because 2122112021121 - 2¹ = 2122112021119 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2122112021094 and 2122112021103.

It is not an unprimeable number, because it can be changed into a prime (2122112021123) 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 19 ways as a sum of consecutive naturals, for example, 524850 + ... + 2125956.

Almost surely, 2^{2122112021121} is an apocalyptic number.

It is an amenable number.

2122112021121 is a deficient number, since it is larger than the sum of its proper divisors (1048152267631).

2122112021121 is a wasteful number, since it uses less digits than its factorization.

2122112021121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617482 (or 1617473 counting only the distinct ones).

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

Adding to 2122112021121 its reverse (1211202112212), we get a palindrome (3333314133333).

The spelling of 2122112021121 in words is "two trillion, one hundred twenty-two billion, one hundred twelve million, twenty-one thousand, one hundred twenty-one".