10221667200 has 432 divisors, whose sum is σ = 38004963360. Its totient is φ = 2613196800.

The previous prime is 10221667193. The next prime is 10221667201. The reversal of 10221667200 is 276612201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221667201) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 95529547 + ... + 95529653.

Almost surely, 2^10221667200 is an apocalyptic number.

10221667200 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 10221667200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19002481680).

10221667200 is an abundant number, since it is smaller than the sum of its proper divisors (27783296160).

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

10221667200 is a wasteful number, since it uses less digits than its factorization.

10221667200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 10221667200 in words is "ten billion, two hundred twenty-one million, six hundred sixty-seven thousand, two hundred".