122221001001133 has 8 divisors (see below), whose sum is σ = 122756798197880. Its totient is φ = 121685221900800.

The previous prime is 122221001001119. The next prime is 122221001001191. The reversal of 122221001001133 is 331100100122221.

It can be written as a sum of positive squares in 4 ways, for example, as 39425614956324 + 82795386044809 = 6278982^2 + 9099197^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122221001001133 - 2⁹ = 122221001000621 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 122221001001133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122221001001433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9103033 + ... + 18091633.

It is an arithmetic number, because the mean of its divisors is an integer number (15344599774735).

Almost surely, 2^{122221001001133} is an apocalyptic number.

It is an amenable number.

122221001001133 is a deficient number, since it is larger than the sum of its proper divisors (535797196747).

122221001001133 is an equidigital number, since it uses as much as digits as its factorization.

122221001001133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9048207.

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

Adding to 122221001001133 its reverse (331100100122221), we get a palindrome (453321101123354).

The spelling of 122221001001133 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, one million, one thousand, one hundred thirty-three".