10221001200 has 300 divisors, whose sum is σ = 36921543120. Its totient is φ = 2707845120.

The previous prime is 10221001157. The next prime is 10221001213. The reversal of 10221001200 is 210012201.

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 an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5409856 + ... + 5411744.

Almost surely, 2^10221001200 is an apocalyptic number.

10221001200 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 10221001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18460771560).

10221001200 is an abundant number, since it is smaller than the sum of its proper divisors (26700541920).

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

10221001200 is a wasteful number, since it uses less digits than its factorization.

10221001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086 (or 2066 counting only the distinct ones).

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

Adding to 10221001200 its reverse (210012201), we get a palindrome (10431013401).

The spelling of 10221001200 in words is "ten billion, two hundred twenty-one million, one thousand, two hundred".