2212122101121 has 24 divisors (see below), whose sum is σ = 3228099789096. Its totient is φ = 1459614566400.

The previous prime is 2212122101099. The next prime is 2212122101141. The reversal of 2212122101121 is 1211012212122.

2212122101121 is a `hidden beast` number, since 221 + 212 + 210 + 1 + 1 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 779406465600 + 1432715635521 = 882840^2 + 1196961^2 .

It is not a de Polignac number, because 2212122101121 - 2¹⁵ = 2212122068353 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2212122101094 and 2212122101103.

It is not an unprimeable number, because it can be changed into a prime (2212122101141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2060491 + ... + 2944463.

It is an arithmetic number, because the mean of its divisors is an integer number (134504157879).

Almost surely, 2^{2212122101121} is an apocalyptic number.

It is an amenable number.

2212122101121 is a deficient number, since it is larger than the sum of its proper divisors (1015977687975).

2212122101121 is a wasteful number, since it uses less digits than its factorization.

2212122101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886833 (or 886830 counting only the distinct ones).

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

Adding to 2212122101121 its reverse (1211012212122), we get a palindrome (3423134313243).

The spelling of 2212122101121 in words is "two trillion, two hundred twelve billion, one hundred twenty-two million, one hundred one thousand, one hundred twenty-one".