100010220220200 has 768 divisors, whose sum is σ = 333704427264000. Its totient is φ = 24688967680000.

The previous prime is 100010220220151. The next prime is 100010220220223. The reversal of 100010220220200 is 2022022010001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 191958195940 + ... + 191958196460.

It is an arithmetic number, because the mean of its divisors is an integer number (434510973000).

Almost surely, 2^{100010220220200} is an apocalyptic number.

100010220220200 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 100010220220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166852213632000).

100010220220200 is an abundant number, since it is smaller than the sum of its proper divisors (233694207043800).

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

100010220220200 is a wasteful number, since it uses less digits than its factorization.

100010220220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 100010220220200 its reverse (2022022010001), we get a palindrome (102032242230201).

The spelling of 100010220220200 in words is "one hundred trillion, ten billion, two hundred twenty million, two hundred twenty thousand, two hundred".