100210221002000 has 80 divisors (see below), whose sum is σ = 255061383657600. Its totient is φ = 37974399523200.

The previous prime is 100210221001997. The next prime is 100210221002077. The reversal of 100210221002000 is 200122012001.

It is a happy number.

100210221002000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1318517540 + ... + 1318593539.

It is an arithmetic number, because the mean of its divisors is an integer number (3188267295720).

Almost surely, 2^{100210221002000} is an apocalyptic number.

100210221002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100210221002000 is an abundant number, since it is smaller than the sum of its proper divisors (154851162655600).

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

100210221002000 is a wasteful number, since it uses less digits than its factorization.

100210221002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2637111121 (or 2637111105 counting only the distinct ones).

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

Adding to 100210221002000 its reverse (200122012001), we get a palindrome (100410343014001).

The spelling of 100210221002000 in words is "one hundred trillion, two hundred ten billion, two hundred twenty-one million, two thousand".