101222220010033 has 2 divisors, whose sum is σ = 101222220010034. Its totient is φ = 101222220010032.

The previous prime is 101222220009931. The next prime is 101222220010063. The reversal of 101222220010033 is 330010022222101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100922779037089 + 299440972944 = 10046033^2 + 547212^2 .

It is a cyclic number.

It is not a de Polignac number, because 101222220010033 - 2²⁹ = 101221683139121 is a prime.

It is a super-2 number, since 2×101222220010033² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101222220010063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50611110005016 + 50611110005017.

It is an arithmetic number, because the mean of its divisors is an integer number (50611110005017).

Almost surely, 2^{101222220010033} is an apocalyptic number.

It is an amenable number.

101222220010033 is a deficient number, since it is larger than the sum of its proper divisors (1).

101222220010033 is an equidigital number, since it uses as much as digits as its factorization.

101222220010033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 101222220010033 its reverse (330010022222101), we get a palindrome (431232242232134).

The spelling of 101222220010033 in words is "one hundred one trillion, two hundred twenty-two billion, two hundred twenty million, ten thousand, thirty-three".