10221102102200 has 144 divisors (see below), whose sum is σ = 26170997136480. Its totient is φ = 3709625920000.

The previous prime is 10221102102191. The next prime is 10221102102203. The reversal of 10221102102200 is 220120112201.

10221102102200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221102102203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12202865 + ... + 13013535.

It is an arithmetic number, because the mean of its divisors is an integer number (181743035670).

Almost surely, 2^{10221102102200} is an apocalyptic number.

10221102102200 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 10221102102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13085498568240).

10221102102200 is an abundant number, since it is smaller than the sum of its proper divisors (15949895034280).

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

10221102102200 is a wasteful number, since it uses less digits than its factorization.

10221102102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811230 (or 811210 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10221102102200 its reverse (220120112201), we get a palindrome (10441222214401).

The spelling of 10221102102200 in words is "ten trillion, two hundred twenty-one billion, one hundred two million, one hundred two thousand, two hundred".