100022200200 has 576 divisors, whose sum is σ = 372751142400. Its totient is φ = 23883724800.

The previous prime is 100022200183. The next prime is 100022200207. The reversal of 100022200200 is 2002220001.

100022200200 = T₂₁₉ + T₂₂₀ + ... + T₈₄₃₄.

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

It is not an unprimeable number, because it can be changed into a prime (100022200207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 112764157 + ... + 112765043.

It is an arithmetic number, because the mean of its divisors is an integer number (647137400).

Almost surely, 2^100022200200 is an apocalyptic number.

100022200200 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 100022200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186375571200).

100022200200 is an abundant number, since it is smaller than the sum of its proper divisors (272728942200).

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

100022200200 is a wasteful number, since it uses less digits than its factorization.

100022200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 100022200200 its reverse (2002220001), we get a palindrome (102024420201).

The spelling of 100022200200 in words is "one hundred billion, twenty-two million, two hundred thousand, two hundred".