100122101221033 has 2 divisors, whose sum is σ = 100122101221034. Its totient is φ = 100122101221032.

The previous prime is 100122101220979. The next prime is 100122101221127. The reversal of 100122101221033 is 330122101221001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100120676385024 + 1424836009 = 10006032^2 + 37747^2 .

It is an emirp because it is prime and its reverse (330122101221001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100122101221033 - 2¹³ = 100122101212841 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100122101221033.

It is not a weakly prime, because it can be changed into another prime (100122104221033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061050610516 + 50061050610517.

It is an arithmetic number, because the mean of its divisors is an integer number (50061050610517).

Almost surely, 2^{100122101221033} is an apocalyptic number.

It is an amenable number.

100122101221033 is a deficient number, since it is larger than the sum of its proper divisors (1).

100122101221033 is an equidigital number, since it uses as much as digits as its factorization.

100122101221033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 100122101221033 its reverse (330122101221001), we get a palindrome (430244202442034).

The spelling of 100122101221033 in words is "one hundred trillion, one hundred twenty-two billion, one hundred one million, two hundred twenty-one thousand, thirty-three".