120022110122113 has 2 divisors, whose sum is σ = 120022110122114. Its totient is φ = 120022110122112.

The previous prime is 120022110122071. The next prime is 120022110122119. The reversal of 120022110122113 is 311221011220021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 115871812198129 + 4150297923984 = 10764377^2 + 2037228^2 .

It is a cyclic number.

It is not a de Polignac number, because 120022110122113 - 2²⁹ = 120021573251201 is a prime.

It is not a weakly prime, because it can be changed into another prime (120022110122119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60011055061056 + 60011055061057.

It is an arithmetic number, because the mean of its divisors is an integer number (60011055061057).

Almost surely, 2^{120022110122113} is an apocalyptic number.

It is an amenable number.

120022110122113 is a deficient number, since it is larger than the sum of its proper divisors (1).

120022110122113 is an equidigital number, since it uses as much as digits as its factorization.

120022110122113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 120022110122113 its reverse (311221011220021), we get a palindrome (431243121342134).

The spelling of 120022110122113 in words is "one hundred twenty trillion, twenty-two billion, one hundred ten million, one hundred twenty-two thousand, one hundred thirteen".