100122120331033 has 2 divisors, whose sum is σ = 100122120331034. Its totient is φ = 100122120331032.

The previous prime is 100122120331027. The next prime is 100122120331081. The reversal of 100122120331033 is 330133021221001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70816062291984 + 29306058039049 = 8415228^2 + 5413507^2 .

It is a cyclic number.

It is not a de Polignac number, because 100122120331033 - 2¹³ = 100122120322841 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100122120330995 and 100122120331013.

It is not a weakly prime, because it can be changed into another prime (100122120331633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061060165516 + 50061060165517.

It is an arithmetic number, because the mean of its divisors is an integer number (50061060165517).

Almost surely, 2^{100122120331033} is an apocalyptic number.

It is an amenable number.

100122120331033 is a deficient number, since it is larger than the sum of its proper divisors (1).

100122120331033 is an equidigital number, since it uses as much as digits as its factorization.

100122120331033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 100122120331033 its reverse (330133021221001), we get a palindrome (430255141552034).

The spelling of 100122120331033 in words is "one hundred trillion, one hundred twenty-two billion, one hundred twenty million, three hundred thirty-one thousand, thirty-three".