2121122111121 has 72 divisors (see below), whose sum is σ = 3363021487800. Its totient is φ = 1287552614400.

The previous prime is 2121122111033. The next prime is 2121122111153. The reversal of 2121122111121 is 1211112211212.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 557059220496 + 1564062890625 = 746364^2 + 1250625^2 .

It is not a de Polignac number, because 2121122111121 - 2²⁹ = 2120585240209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2121122111094 and 2121122111103.

It is not an unprimeable number, because it can be changed into a prime (2121122118121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41298385 + ... + 41349713.

It is an arithmetic number, because the mean of its divisors is an integer number (46708631775).

Almost surely, 2^{2121122111121} is an apocalyptic number.

It is an amenable number.

2121122111121 is a deficient number, since it is larger than the sum of its proper divisors (1241899376679).

2121122111121 is a wasteful number, since it uses less digits than its factorization.

2121122111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51731 (or 51715 counting only the distinct ones).

The product of its digits is 32, while the sum is 18.

Adding to 2121122111121 its reverse (1211112211212), we get a palindrome (3332234322333).

The spelling of 2121122111121 in words is "two trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred eleven thousand, one hundred twenty-one".