10002221200100 has 72 divisors (see below), whose sum is σ = 21917179502400. Its totient is φ = 3961891900800.

The previous prime is 10002221200073. The next prime is 10002221200177. The reversal of 10002221200100 is 100212220001.

It is a happy number.

10002221200100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4482185 + ... + 6332015.

Almost surely, 2^{10002221200100} is an apocalyptic number.

10002221200100 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 10002221200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10958589751200).

10002221200100 is an abundant number, since it is smaller than the sum of its proper divisors (11914958302300).

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

10002221200100 is a wasteful number, since it uses less digits than its factorization.

10002221200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850373 (or 1850366 counting only the distinct ones).

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

Adding to 10002221200100 its reverse (100212220001), we get a palindrome (10102433420101).

The spelling of 10002221200100 in words is "ten trillion, two billion, two hundred twenty-one million, two hundred thousand, one hundred".