10221010000 has 100 divisors (see below), whose sum is σ = 25545122944. Its totient is φ = 3956400000.

The previous prime is 10221009979. The next prime is 10221010049. The reversal of 10221010000 is 1012201.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-3 number, since 3×10221010000³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 293515 + ... + 326485.

Almost surely, 2^10221010000 is an apocalyptic number.

10221010000 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 10221010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12772561472).

10221010000 is an abundant number, since it is smaller than the sum of its proper divisors (15324112944).

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

10221010000 is an equidigital number, since it uses as much as digits as its factorization.

10221010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33030 (or 33009 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10221010000 its reverse (1012201), we get a palindrome (10222022201).

The spelling of 10221010000 in words is "ten billion, two hundred twenty-one million, ten thousand".