10000177721 has 2 divisors, whose sum is σ = 10000177722. Its totient is φ = 10000177720.

The previous prime is 10000177673. The next prime is 10000177723. The reversal of 10000177721 is 12777100001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9435402496 + 564775225 = 97136^2 + 23765^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10000177721 is a prime.

Together with 10000177723, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10000177723) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000088860 + 5000088861.

It is an arithmetic number, because the mean of its divisors is an integer number (5000088861).

Almost surely, 2^10000177721 is an apocalyptic number.

It is an amenable number.

10000177721 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000177721 is an equidigital number, since it uses as much as digits as its factorization.

10000177721 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 686, while the sum is 26.

Adding to 10000177721 its reverse (12777100001), we get a palindrome (22777277722).

The spelling of 10000177721 in words is "ten billion, one hundred seventy-seven thousand, seven hundred twenty-one".