122300100 has 108 divisors (see below), whose sum is σ = 412870276. Its totient is φ = 30101760.

The previous prime is 122300099. The next prime is 122300107. The reversal of 122300100 is 1003221.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 20736 + 122279364 = 144^2 + 11058^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122300107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6474 + ... + 16926.

Almost surely, 2^122300100 is an apocalyptic number.

122300100 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 122300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206435138).

122300100 is an abundant number, since it is smaller than the sum of its proper divisors (290570176).

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

122300100 is a wasteful number, since it uses less digits than its factorization.

122300100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10486 (or 10476 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 122300100 is about 11058.9375619903. The cubic root of 122300100 is about 496.3738996974.

Adding to 122300100 its reverse (1003221), we get a palindrome (123303321).

The spelling of 122300100 in words is "one hundred twenty-two million, three hundred thousand, one hundred".