100122300 has 108 divisors (see below), whose sum is σ = 319901400. Its totient is φ = 26183040.

The previous prime is 100122257. The next prime is 100122301. The reversal of 100122300 is 3221001.

It is a happy number.

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 (100122301) 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, 46651 + ... + 48749.

It is an arithmetic number, because the mean of its divisors is an integer number (2962050).

Almost surely, 2^100122300 is an apocalyptic number.

100122300 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 100122300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159950700).

100122300 is an abundant number, since it is smaller than the sum of its proper divisors (219779100).

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

100122300 is a wasteful number, since it uses less digits than its factorization.

100122300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2172 (or 2162 counting only the distinct ones).

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

The square root of 100122300 is about 10006.1131314812. The cubic root of 100122300 is about 464.3480283789.

Adding to 100122300 its reverse (3221001), we get a palindrome (103343301).

The spelling of 100122300 in words is "one hundred million, one hundred twenty-two thousand, three hundred".