10021540459757 has 2 divisors, whose sum is σ = 10021540459758. Its totient is φ = 10021540459756.

The previous prime is 10021540459621. The next prime is 10021540459771. The reversal of 10021540459757 is 75795404512001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9701100686281 + 320439773476 = 3114659^2 + 566074^2 .

It is a cyclic number.

It is not a de Polignac number, because 10021540459757 - 2¹⁴ = 10021540443373 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10021540459057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010770229878 + 5010770229879.

It is an arithmetic number, because the mean of its divisors is an integer number (5010770229879).

Almost surely, 2^{10021540459757} is an apocalyptic number.

It is an amenable number.

10021540459757 is a deficient number, since it is larger than the sum of its proper divisors (1).

10021540459757 is an equidigital number, since it uses as much as digits as its factorization.

10021540459757 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1764000, while the sum is 50.

The spelling of 10021540459757 in words is "ten trillion, twenty-one billion, five hundred forty million, four hundred fifty-nine thousand, seven hundred fifty-seven".