10123727821 has 2 divisors, whose sum is σ = 10123727822. Its totient is φ = 10123727820.

The previous prime is 10123727777. The next prime is 10123727837. The reversal of 10123727821 is 12872732101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9882546921 + 241180900 = 99411^2 + 15530^2 .

It is a cyclic number.

It is not a de Polignac number, because 10123727821 - 2⁷ = 10123727693 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10123727221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061863910 + 5061863911.

It is an arithmetic number, because the mean of its divisors is an integer number (5061863911).

Almost surely, 2^10123727821 is an apocalyptic number.

It is an amenable number.

10123727821 is a deficient number, since it is larger than the sum of its proper divisors (1).

10123727821 is an equidigital number, since it uses as much as digits as its factorization.

10123727821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9408, while the sum is 34.

The spelling of 10123727821 in words is "ten billion, one hundred twenty-three million, seven hundred twenty-seven thousand, eight hundred twenty-one".