2011121122121 has 4 divisors (see below), whose sum is σ = 2011285267332. Its totient is φ = 2010956976912.

The previous prime is 2011121122063. The next prime is 2011121122133. The reversal of 2011121122121 is 1212211211102.

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 1695631082896 + 315490039225 = 1302164^2 + 561685^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2011121122121 is a prime.

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 2011121122121.

It is not an unprimeable number, because it can be changed into a prime (2011121122321) 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, 82054226 + ... + 82078731.

It is an arithmetic number, because the mean of its divisors is an integer number (502821316833).

Almost surely, 2^{2011121122121} is an apocalyptic number.

It is an amenable number.

2011121122121 is a deficient number, since it is larger than the sum of its proper divisors (164145211).

2011121122121 is a wasteful number, since it uses less digits than its factorization.

2011121122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164145210.

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

Adding to 2011121122121 its reverse (1212211211102), we get a palindrome (3223332333223).

The spelling of 2011121122121 in words is "two trillion, eleven billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred twenty-one".