110101221221129 has 2 divisors, whose sum is σ = 110101221221130. Its totient is φ = 110101221221128.

The previous prime is 110101221221059. The next prime is 110101221221191. The reversal of 110101221221129 is 921122122101011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65565085089529 + 44536136131600 = 8097227^2 + 6673540^2 .

It is a cyclic number.

It is not a de Polignac number, because 110101221221129 - 2⁸ = 110101221220873 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110101221221098 and 110101221221107.

It is not a weakly prime, because it can be changed into another prime (110101221211129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050610610564 + 55050610610565.

It is an arithmetic number, because the mean of its divisors is an integer number (55050610610565).

Almost surely, 2^{110101221221129} is an apocalyptic number.

It is an amenable number.

110101221221129 is a deficient number, since it is larger than the sum of its proper divisors (1).

110101221221129 is an equidigital number, since it uses as much as digits as its factorization.

110101221221129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 26.

The spelling of 110101221221129 in words is "one hundred ten trillion, one hundred one billion, two hundred twenty-one million, two hundred twenty-one thousand, one hundred twenty-nine".