1101001122121 has 2 divisors, whose sum is σ = 1101001122122. Its totient is φ = 1101001122120.

The previous prime is 1101001122077. The next prime is 1101001122127. The reversal of 1101001122121 is 1212211001011.

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., 1089913032121 + 11088090000 = 1043989^2 + 105300^2 .

It is a cyclic number.

It is not a de Polignac number, because 1101001122121 - 2¹⁷ = 1101000991049 is a prime.

It is not a weakly prime, because it can be changed into another prime (1101001122127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550500561060 + 550500561061.

It is an arithmetic number, because the mean of its divisors is an integer number (550500561061).

Almost surely, 2^{1101001122121} is an apocalyptic number.

It is an amenable number.

1101001122121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101001122121 is an equidigital number, since it uses as much as digits as its factorization.

1101001122121 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 1101001122121 its reverse (1212211001011), we get a palindrome (2313212123132).

The spelling of 1101001122121 in words is "one trillion, one hundred one billion, one million, one hundred twenty-two thousand, one hundred twenty-one".