100122100112213 has 2 divisors, whose sum is σ = 100122100112214. Its totient is φ = 100122100112212.

The previous prime is 100122100112197. The next prime is 100122100112231. The reversal of 100122100112213 is 312211001221001.

It is a happy number.

Together with next prime (100122100112231) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70984635356644 + 29137464755569 = 8425238^2 + 5397913^2 .

It is a cyclic number.

It is not a de Polignac number, because 100122100112213 - 2⁴ = 100122100112197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100122100112191 and 100122100112200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100122100112263) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061050056106 + 50061050056107.

It is an arithmetic number, because the mean of its divisors is an integer number (50061050056107).

Almost surely, 2^{100122100112213} is an apocalyptic number.

It is an amenable number.

100122100112213 is a deficient number, since it is larger than the sum of its proper divisors (1).

100122100112213 is an equidigital number, since it uses as much as digits as its factorization.

100122100112213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 100122100112213 its reverse (312211001221001), we get a palindrome (412333101333214).

The spelling of 100122100112213 in words is "one hundred trillion, one hundred twenty-two billion, one hundred million, one hundred twelve thousand, two hundred thirteen".