21102022010000 has 200 divisors, whose sum is σ = 51982392184800. Its totient is φ = 8293536000000.

The previous prime is 21102022009891. The next prime is 21102022010081. The reversal of 21102022010000 is 1022020112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1328082056 + ... + 1328097944.

It is an arithmetic number, because the mean of its divisors is an integer number (259911960924).

Almost surely, 2^{21102022010000} is an apocalyptic number.

21102022010000 is a gapful number since it is divisible by the number (20) 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 21102022010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25991196092400).

21102022010000 is an abundant number, since it is smaller than the sum of its proper divisors (30880370174800).

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

21102022010000 is a wasteful number, since it uses less digits than its factorization.

21102022010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18227 (or 18206 counting only the distinct ones).

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

Adding to 21102022010000 its reverse (1022020112), we get a palindrome (21103044030112).

The spelling of 21102022010000 in words is "twenty-one trillion, one hundred two billion, twenty-two million, ten thousand".