114222044311121 has 2 divisors, whose sum is σ = 114222044311122. Its totient is φ = 114222044311120.

The previous prime is 114222044311097. The next prime is 114222044311169. The reversal of 114222044311121 is 121113440222411.

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., 95542023193600 + 18680021117521 = 9774560^2 + 4322039^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-114222044311121 is a prime.

It is a super-2 number, since 2×114222044311121² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (114222044311171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57111022155560 + 57111022155561.

It is an arithmetic number, because the mean of its divisors is an integer number (57111022155561).

Almost surely, 2^{114222044311121} is an apocalyptic number.

It is an amenable number.

114222044311121 is a deficient number, since it is larger than the sum of its proper divisors (1).

114222044311121 is an equidigital number, since it uses as much as digits as its factorization.

114222044311121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3072, while the sum is 29.

Adding to 114222044311121 its reverse (121113440222411), we get a palindrome (235335484533532).

The spelling of 114222044311121 in words is "one hundred fourteen trillion, two hundred twenty-two billion, forty-four million, three hundred eleven thousand, one hundred twenty-one".