21307354448121 has 27 divisors (see below), whose sum is σ = 35802316271631. Its totient is φ = 12175575721344.

The previous prime is 21307354448119. The next prime is 21307354448123. The reversal of 21307354448121 is 12184445370312.

The square root of 21307354448121 is 4615989.

It is a perfect power (a square), and thus also a powerful number.

21307354448121 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 7 + 3 + 544 + 4 + 81 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (21307354448119) and next prime (21307354448123).

It can be written as a sum of positive squares in only one way, i.e., 9498646521 + 21297855801600 = 97461^2 + 4614960^2 .

It is not a de Polignac number, because 21307354448121 - 2¹ = 21307354448119 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21307354448123) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 96825865 + ... + 97045673.

Almost surely, 2^{21307354448121} is an apocalyptic number.

21307354448121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21307354448121 is the 4615989-th square number.

21307354448121 is the 2307995-th centered octagonal number.

It is an amenable number.

21307354448121 is a deficient number, since it is larger than the sum of its proper divisors (14494961823510).

21307354448121 is an frugal number, since it uses more digits than its factorization.

21307354448121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439638 (or 219819 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 21307354448121 in words is "twenty-one trillion, three hundred seven billion, three hundred fifty-four million, four hundred forty-eight thousand, one hundred twenty-one".