100122220333 has 18 divisors (see below), whose sum is σ = 104032155402. Its totient is φ = 96355975680.

The previous prime is 100122220309. The next prime is 100122220349. The reversal of 100122220333 is 333022221001.

It can be written as a sum of positive squares in 3 ways, for example, as 5972662089 + 94149558244 = 77283^2 + 306838^2 .

It is not a de Polignac number, because 100122220333 - 2¹⁷ = 100122089261 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 100122220333.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122224333) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 35794891 + ... + 35797687.

It is an arithmetic number, because the mean of its divisors is an integer number (5779564189).

Almost surely, 2^100122220333 is an apocalyptic number.

It is an amenable number.

100122220333 is a deficient number, since it is larger than the sum of its proper divisors (3909935069).

100122220333 is an frugal number, since it uses more digits than its factorization.

100122220333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3245 (or 3021 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 100122220333 its reverse (333022221001), we get a palindrome (433144441334).

The spelling of 100122220333 in words is "one hundred billion, one hundred twenty-two million, two hundred twenty thousand, three hundred thirty-three".