2011212101121 has 16 divisors (see below), whose sum is σ = 2688265075200. Its totient is φ = 1337485304448.

The previous prime is 2011212101089. The next prime is 2011212101141. The reversal of 2011212101121 is 1211012121102.

It is a happy number.

It is not a de Polignac number, because 2011212101121 - 2⁵ = 2011212101089 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2011212101121.

It is not an unprimeable number, because it can be changed into a prime (2011212101141) 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 15 ways as a sum of consecutive naturals, for example, 4544560 + ... + 4967438.

It is an arithmetic number, because the mean of its divisors is an integer number (168016567200).

Almost surely, 2^{2011212101121} is an apocalyptic number.

It is an amenable number.

2011212101121 is a deficient number, since it is larger than the sum of its proper divisors (677052974079).

2011212101121 is a wasteful number, since it uses less digits than its factorization.

2011212101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426808.

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

Adding to 2011212101121 its reverse (1211012121102), we get a palindrome (3222224222223).

The spelling of 2011212101121 in words is "two trillion, eleven billion, two hundred twelve million, one hundred one thousand, one hundred twenty-one".