100202022200 has 288 divisors, whose sum is σ = 284340551040. Its totient is φ = 32162150400.

The previous prime is 100202022199. The next prime is 100202022247. The reversal of 100202022200 is 2220202001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 91843655 + ... + 91844745.

It is an arithmetic number, because the mean of its divisors is an integer number (987293580).

Almost surely, 2^100202022200 is an apocalyptic number.

100202022200 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 100202022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142170275520).

100202022200 is an abundant number, since it is smaller than the sum of its proper divisors (184138528840).

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

100202022200 is a wasteful number, since it uses less digits than its factorization.

100202022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 100202022200 its reverse (2220202001), we get a palindrome (102422224201).

The spelling of 100202022200 in words is "one hundred billion, two hundred two million, twenty-two thousand, two hundred".