100202200 has 96 divisors (see below), whose sum is σ = 280339200. Its totient is φ = 32538240.

The previous prime is 100202161. The next prime is 100202213. The reversal of 100202200 is 2202001.

100202200 = T₁₅₉₇ + T₁₅₉₈ + ... + T₁₆₇₁.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24717 + ... + 28483.

It is an arithmetic number, because the mean of its divisors is an integer number (2920200).

Almost surely, 2^100202200 is an apocalyptic number.

100202200 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 100202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140169600).

100202200 is an abundant number, since it is smaller than the sum of its proper divisors (180137000).

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

100202200 is a wasteful number, since it uses less digits than its factorization.

100202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3809 (or 3800 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 100202200 is about 10010.1048945553. The cubic root of 100202200 is about 464.4715158290.

Adding to 100202200 its reverse (2202001), we get a palindrome (102404201).

The spelling of 100202200 in words is "one hundred million, two hundred two thousand, two hundred".