2111100111121 has 2 divisors, whose sum is σ = 2111100111122. Its totient is φ = 2111100111120.

The previous prime is 2111100111079. The next prime is 2111100111151. The reversal of 2111100111121 is 1211110011112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2111092761600 + 7349521 = 1452960^2 + 2711^2 .

It is a cyclic number.

It is not a de Polignac number, because 2111100111121 - 2⁷ = 2111100110993 is a prime.

It is not a weakly prime, because it can be changed into another prime (2111100111151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055550055560 + 1055550055561.

It is an arithmetic number, because the mean of its divisors is an integer number (1055550055561).

Almost surely, 2^{2111100111121} is an apocalyptic number.

It is an amenable number.

2111100111121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2111100111121 is an equidigital number, since it uses as much as digits as its factorization.

2111100111121 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 13.

Adding to 2111100111121 its reverse (1211110011112), we get a palindrome (3322210122233).

The spelling of 2111100111121 in words is "two trillion, one hundred eleven billion, one hundred million, one hundred eleven thousand, one hundred twenty-one".