102221010000 has 300 divisors, whose sum is σ = 367155263332. Its totient is φ = 26521344000.

The previous prime is 102221009999. The next prime is 102221010007. The reversal of 102221010000 is 10122201.

102221010000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 79889891904 + 22331118096 = 282648^2 + 149436^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102221010007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3314652 + ... + 3345348.

Almost surely, 2^102221010000 is an apocalyptic number.

102221010000 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 102221010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183577631666).

102221010000 is an abundant number, since it is smaller than the sum of its proper divisors (264934253332).

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

102221010000 is a wasteful number, since it uses less digits than its factorization.

102221010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30768 (or 30744 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102221010000 its reverse (10122201), we get a palindrome (102231132201).

The spelling of 102221010000 in words is "one hundred two billion, two hundred twenty-one million, ten thousand".