1100122110121 has 2 divisors, whose sum is σ = 1100122110122. Its totient is φ = 1100122110120.

The previous prime is 1100122110089. The next prime is 1100122110127. The reversal of 1100122110121 is 1210112210011.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 576633684496 + 523488425625 = 759364^2 + 723525^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100122110121 - 2⁵ = 1100122110089 is a prime.

It is not a weakly prime, because it can be changed into another prime (1100122110127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550061055060 + 550061055061.

It is an arithmetic number, because the mean of its divisors is an integer number (550061055061).

Almost surely, 2^{1100122110121} is an apocalyptic number.

It is an amenable number.

1100122110121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100122110121 is an equidigital number, since it uses as much as digits as its factorization.

1100122110121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1100122110121 its reverse (1210112210011), we get a palindrome (2310234320132).

It can be divided in two parts, 1100 and 122110121, that added together give a palindrome (122111221).

The spelling of 1100122110121 in words is "one trillion, one hundred billion, one hundred twenty-two million, one hundred ten thousand, one hundred twenty-one".