122300330100 has 144 divisors (see below), whose sum is σ = 381295928832. Its totient is φ = 30087267840.

The previous prime is 122300330083. The next prime is 122300330129. The reversal of 122300330100 is 1033003221.

122300330100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122300330100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7530589 + ... + 7546811.

Almost surely, 2^122300330100 is an apocalyptic number.

122300330100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122300330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190647964416).

122300330100 is an abundant number, since it is smaller than the sum of its proper divisors (258995598732).

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

122300330100 is a wasteful number, since it uses less digits than its factorization.

122300330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18186 (or 18179 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 122300330100 its reverse (1033003221), we get a palindrome (123333333321).

The spelling of 122300330100 in words is "one hundred twenty-two billion, three hundred million, three hundred thirty thousand, one hundred".