2122101121121 has 16 divisors (see below), whose sum is σ = 2275824600000. Its totient is φ = 1971626661888.

The previous prime is 2122101121097. The next prime is 2122101121183. The reversal of 2122101121121 is 1211211012212.

It is a cyclic number.

It is not a de Polignac number, because 2122101121121 - 2⁶ = 2122101121057 is a prime.

It is a super-2 number, since 2×2122101121121² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

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 2122101121121.

It is not an unprimeable number, because it can be changed into a prime (2122101129121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1160270 + ... + 2364408.

It is an arithmetic number, because the mean of its divisors is an integer number (142239037500).

Almost surely, 2^{2122101121121} is an apocalyptic number.

It is an amenable number.

2122101121121 is a deficient number, since it is larger than the sum of its proper divisors (153723478879).

2122101121121 is a wasteful number, since it uses less digits than its factorization.

2122101121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205488.

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

Adding to 2122101121121 its reverse (1211211012212), we get a palindrome (3333312133333).

It can be divided in two parts, 212210 and 1121121, that added together give a palindrome (1333331).

The spelling of 2122101121121 in words is "two trillion, one hundred twenty-two billion, one hundred one million, one hundred twenty-one thousand, one hundred twenty-one".