100220020200 has 240 divisors, whose sum is σ = 348364747500. Its totient is φ = 26703406080.

The previous prime is 100220020171. The next prime is 100220020223. The reversal of 100220020200 is 2020022001.

It can be written as a sum of positive squares in 6 ways, for example, as 48200446116 + 52019574084 = 219546^2 + 228078^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 32868276 + ... + 32871324.

Almost surely, 2^100220020200 is an apocalyptic number.

100220020200 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 100220020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174182373750).

100220020200 is an abundant number, since it is smaller than the sum of its proper divisors (248144727300).

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

100220020200 is a wasteful number, since it uses less digits than its factorization.

100220020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5106 (or 5088 counting only the distinct ones).

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

Adding to 100220020200 its reverse (2020022001), we get a palindrome (102240042201).

The spelling of 100220020200 in words is "one hundred billion, two hundred twenty million, twenty thousand, two hundred".