2112112120121 has 4 divisors (see below), whose sum is σ = 2113735574244. Its totient is φ = 2110488666000.

The previous prime is 2112112120051. The next prime is 2112112120189. The reversal of 2112112120121 is 1210212112112.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 77392458025 + 2034719662096 = 278195^2 + 1426436^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112112120121 - 2¹⁰ = 2112112119097 is a prime.

It is a super-2 number, since 2×2112112120121² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2112112120121.

It is not an unprimeable number, because it can be changed into a prime (2112112170121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 811725110 + ... + 811727711.

It is an arithmetic number, because the mean of its divisors is an integer number (528433893561).

Almost surely, 2^{2112112120121} is an apocalyptic number.

It is an amenable number.

2112112120121 is a deficient number, since it is larger than the sum of its proper divisors (1623454123).

2112112120121 is a wasteful number, since it uses less digits than its factorization.

2112112120121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1623454122.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 2112112120121 its reverse (1210212112112), we get a palindrome (3322324232233).

It can be divided in two parts, 211211 and 2120121, that added together give a palindrome (2331332).

The spelling of 2112112120121 in words is "two trillion, one hundred twelve billion, one hundred twelve million, one hundred twenty thousand, one hundred twenty-one".