122433332200100 has 36 divisors (see below), whose sum is σ = 270693167317524. Its totient is φ = 48049307729280.

The previous prime is 122433332200079. The next prime is 122433332200133. The reversal of 122433332200100 is 1002233334221.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 5520018678784 + 116913313521316 = 2349472^2 + 10812646^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 122433332200100.

It is an unprimeable number.

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 in 11 ways as a sum of consecutive naturals, for example, 11550309059 + ... + 11550319658.

It is an arithmetic number, because the mean of its divisors is an integer number (7519254647709).

Almost surely, 2^{122433332200100} is an apocalyptic number.

122433332200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122433332200100 is an abundant number, since it is smaller than the sum of its proper divisors (148259835117424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122433332200100 is a wasteful number, since it uses less digits than its factorization.

122433332200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23100628784 (or 23100628777 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 122433332200100 its reverse (1002233334221), we get a palindrome (123435565534321).

The spelling of 122433332200100 in words is "one hundred twenty-two trillion, four hundred thirty-three billion, three hundred thirty-two million, two hundred thousand, one hundred".