100011002220200 has 192 divisors, whose sum is σ = 246899888467200. Its totient is φ = 37544784076800.

The previous prime is 100011002220193. The next prime is 100011002220203. The reversal of 100011002220200 is 2022200110001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (100011002220203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4070273915 + ... + 4070298485.

It is an arithmetic number, because the mean of its divisors is an integer number (1285936919100).

Almost surely, 2^{100011002220200} is an apocalyptic number.

100011002220200 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 100011002220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123449944233600).

100011002220200 is an abundant number, since it is smaller than the sum of its proper divisors (146888886247000).

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

100011002220200 is a wasteful number, since it uses less digits than its factorization.

100011002220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27940 (or 27931 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100011002220200 its reverse (2022200110001), we get a palindrome (102033202330201).

The spelling of 100011002220200 in words is "one hundred trillion, eleven billion, two million, two hundred twenty thousand, two hundred".