10221010210000 has 200 divisors, whose sum is σ = 24831078186464. Its totient is φ = 4074390720000.

The previous prime is 10221010209997. The next prime is 10221010210007. The reversal of 10221010210000 is 1201012201.

10221010210000 is digitally balanced in base 2, 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 (200).

It is a super-3 number, since 3×10221010210000³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221010210007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4906868959 + ... + 4906871041.

Almost surely, 2^{10221010210000} is an apocalyptic number.

10221010210000 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 10221010210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12415539093232).

10221010210000 is an abundant number, since it is smaller than the sum of its proper divisors (14610067976464).

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

10221010210000 is an equidigital number, since it uses as much as digits as its factorization.

10221010210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3559 (or 3538 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10221010210000 its reverse (1201012201), we get a palindrome (10222211222201).

The spelling of 10221010210000 in words is "ten trillion, two hundred twenty-one billion, ten million, two hundred ten thousand".