100122112120073 has 2 divisors, whose sum is σ = 100122112120074. Its totient is φ = 100122112120072.

The previous prime is 100122112120031. The next prime is 100122112120181. The reversal of 100122112120073 is 370021211221001.

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., 93870772048249 + 6251340071824 = 9688693^2 + 2500268^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100122112120073 is a prime.

It is not a weakly prime, because it can be changed into another prime (100122112120573) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061056060036 + 50061056060037.

It is an arithmetic number, because the mean of its divisors is an integer number (50061056060037).

Almost surely, 2^{100122112120073} is an apocalyptic number.

It is an amenable number.

100122112120073 is a deficient number, since it is larger than the sum of its proper divisors (1).

100122112120073 is an equidigital number, since it uses as much as digits as its factorization.

100122112120073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 23.

Adding to 100122112120073 its reverse (370021211221001), we get a palindrome (470143323341074).

The spelling of 100122112120073 in words is "one hundred trillion, one hundred twenty-two billion, one hundred twelve million, one hundred twenty thousand, seventy-three".