2011122112121 has 32 divisors (see below), whose sum is σ = 2247589036800. Its totient is φ = 1790751836160.

The previous prime is 2011122112117. The next prime is 2011122112151. The reversal of 2011122112121 is 1212112211102.

It is a cyclic number.

It is not a de Polignac number, because 2011122112121 - 2² = 2011122112117 is a prime.

It is a super-2 number, since 2×2011122112121² (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 2011122112121.

It is not an unprimeable number, because it can be changed into a prime (2011122112151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5529245 + ... + 5881733.

It is an arithmetic number, because the mean of its divisors is an integer number (70237157400).

Almost surely, 2^{2011122112121} is an apocalyptic number.

It is an amenable number.

2011122112121 is a deficient number, since it is larger than the sum of its proper divisors (236466924679).

2011122112121 is a wasteful number, since it uses less digits than its factorization.

2011122112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352769.

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

Adding to 2011122112121 its reverse (1212112211102), we get a palindrome (3223234323223).

The spelling of 2011122112121 in words is "two trillion, eleven billion, one hundred twenty-two million, one hundred twelve thousand, one hundred twenty-one".