110101220101121 has 2 divisors, whose sum is σ = 110101220101122. Its totient is φ = 110101220101120.

The previous prime is 110101220101111. The next prime is 110101220101127. The reversal of 110101220101121 is 121101022101011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103029402115600 + 7071817985521 = 10150340^2 + 2659289^2 .

It is a cyclic number.

It is not a de Polignac number, because 110101220101121 - 2¹⁰ = 110101220100097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110101220101096 and 110101220101105.

It is not a weakly prime, because it can be changed into another prime (110101220101127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050610050560 + 55050610050561.

It is an arithmetic number, because the mean of its divisors is an integer number (55050610050561).

Almost surely, 2^{110101220101121} is an apocalyptic number.

It is an amenable number.

110101220101121 is a deficient number, since it is larger than the sum of its proper divisors (1).

110101220101121 is an equidigital number, since it uses as much as digits as its factorization.

110101220101121 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 14.

Adding to 110101220101121 its reverse (121101022101011), we get a palindrome (231202242202132).

The spelling of 110101220101121 in words is "one hundred ten trillion, one hundred one billion, two hundred twenty million, one hundred one thousand, one hundred twenty-one".