11000000211121 has 2 divisors, whose sum is σ = 11000000211122. Its totient is φ = 11000000211120.

The previous prime is 11000000211113. The next prime is 11000000211139. The reversal of 11000000211121 is 12111200000011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6013108282896 + 4986891928225 = 2452164^2 + 2233135^2 .

It is a cyclic number.

It is not a de Polignac number, because 11000000211121 - 2³ = 11000000211113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11000000211098 and 11000000211107.

It is not a weakly prime, because it can be changed into another prime (11000000212121) 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 as a sum of consecutive naturals, namely, 5500000105560 + 5500000105561.

It is an arithmetic number, because the mean of its divisors is an integer number (5500000105561).

Almost surely, 2^{11000000211121} is an apocalyptic number.

It is an amenable number.

11000000211121 is a deficient number, since it is larger than the sum of its proper divisors (1).

11000000211121 is an equidigital number, since it uses as much as digits as its factorization.

11000000211121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11000000211121 its reverse (12111200000011), we get a palindrome (23111200211132).

The spelling of 11000000211121 in words is "eleven trillion, two hundred eleven thousand, one hundred twenty-one".