1110100111121 has 2 divisors, whose sum is σ = 1110100111122. Its totient is φ = 1110100111120.

The previous prime is 1110100111091. The next prime is 1110100111181. The reversal of 1110100111121 is 1211110010111.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1109464062721 + 636048400 = 1053311^2 + 25220^2 .

It is a cyclic number.

It is not a de Polignac number, because 1110100111121 - 2²⁶ = 1110033002257 is a prime.

It is not a weakly prime, because it can be changed into another prime (1110100111181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 555050055560 + 555050055561.

It is an arithmetic number, because the mean of its divisors is an integer number (555050055561).

Almost surely, 2^{1110100111121} is an apocalyptic number.

It is an amenable number.

1110100111121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1110100111121 is an equidigital number, since it uses as much as digits as its factorization.

1110100111121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 1110100111121 its reverse (1211110010111), we get a palindrome (2321210121232).

It can be divided in two parts, 1110100 and 111121, that added together give a palindrome (1221221).

The spelling of 1110100111121 in words is "one trillion, one hundred ten billion, one hundred million, one hundred eleven thousand, one hundred twenty-one".