10221770700 has 216 divisors, whose sum is σ = 33340834800. Its totient is φ = 2716416000.

The previous prime is 10221770687. The next prime is 10221770711. The reversal of 10221770700 is 707712201.

10221770700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9743776 + ... + 9744824.

Almost surely, 2^10221770700 is an apocalyptic number.

10221770700 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 10221770700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16670417400).

10221770700 is an abundant number, since it is smaller than the sum of its proper divisors (23119064100).

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

10221770700 is a wasteful number, since it uses less digits than its factorization.

10221770700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

The spelling of 10221770700 in words is "ten billion, two hundred twenty-one million, seven hundred seventy thousand, seven hundred".