2011100011121 has 2 divisors, whose sum is σ = 2011100011122. Its totient is φ = 2011100011120.

The previous prime is 2011100011093. The next prime is 2011100011157. The reversal of 2011100011121 is 1211100011102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1023660321121 + 987439690000 = 1011761^2 + 993700^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011100011121 - 2¹⁰ = 2011100010097 is a prime.

It is not a weakly prime, because it can be changed into another prime (2011100011721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005550005560 + 1005550005561.

It is an arithmetic number, because the mean of its divisors is an integer number (1005550005561).

Almost surely, 2^{2011100011121} is an apocalyptic number.

It is an amenable number.

2011100011121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011100011121 is an equidigital number, since it uses as much as digits as its factorization.

2011100011121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 2011100011121 its reverse (1211100011102), we get a palindrome (3222200022223).

The spelling of 2011100011121 in words is "two trillion, eleven billion, one hundred million, eleven thousand, one hundred twenty-one".