10221770727 has 64 divisors (see below), whose sum is σ = 19289318400. Its totient is φ = 5208053760.

The previous prime is 10221770723. The next prime is 10221770743. The reversal of 10221770727 is 72707712201.

It is not a de Polignac number, because 10221770727 - 2² = 10221770723 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10221770691 and 10221770700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221770723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22674 + ... + 144767.

It is an arithmetic number, because the mean of its divisors is an integer number (301395600).

Almost surely, 2^10221770727 is an apocalyptic number.

10221770727 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

10221770727 is a deficient number, since it is larger than the sum of its proper divisors (9067547673).

10221770727 is a wasteful number, since it uses less digits than its factorization.

10221770727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167493 (or 167487 counting only the distinct ones).

The product of its (nonzero) digits is 19208, while the sum is 36.

The spelling of 10221770727 in words is "ten billion, two hundred twenty-one million, seven hundred seventy thousand, seven hundred twenty-seven".