2011122101121 has 8 divisors (see below), whose sum is σ = 3064567011264. Its totient is φ = 1149212629200.

The previous prime is 2011122101117. The next prime is 2011122101129. The reversal of 2011122101121 is 1211012211102.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2011122101121 - 2² = 2011122101117 is a prime.

It is a super-2 number, since 2×2011122101121² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2011122101121.

It is not an unprimeable number, because it can be changed into a prime (2011122101129) 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 7 ways as a sum of consecutive naturals, for example, 47883859530 + ... + 47883859571.

It is an arithmetic number, because the mean of its divisors is an integer number (383070876408).

Almost surely, 2^{2011122101121} is an apocalyptic number.

2011122101121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2011122101121 is a deficient number, since it is larger than the sum of its proper divisors (1053444910143).

2011122101121 is an equidigital number, since it uses as much as digits as its factorization.

2011122101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95767719111.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2011122101121 its reverse (1211012211102), we get a palindrome (3222134312223).

The spelling of 2011122101121 in words is "two trillion, eleven billion, one hundred twenty-two million, one hundred one thousand, one hundred twenty-one".