21416445102125 has 32 divisors (see below), whose sum is σ = 26860703107680. Its totient is φ = 17048084928000.

The previous prime is 21416445101969. The next prime is 21416445102133. The reversal of 21416445102125 is 52120154461412.

21416445102125 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 21240982134436 + 175462967689 = 4608794^2 + 418883^2 .

It is not a de Polignac number, because 21416445102125 - 2¹² = 21416445098029 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24473639 + ... + 25333611.

It is an arithmetic number, because the mean of its divisors is an integer number (839396972115).

Almost surely, 2^{21416445102125} is an apocalyptic number.

21416445102125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

21416445102125 is a deficient number, since it is larger than the sum of its proper divisors (5444258005555).

21416445102125 is an equidigital number, since it uses as much as digits as its factorization.

21416445102125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860978 (or 860968 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 38.

Adding to 21416445102125 its reverse (52120154461412), we get a palindrome (73536599563537).

The spelling of 21416445102125 in words is "twenty-one trillion, four hundred sixteen billion, four hundred forty-five million, one hundred two thousand, one hundred twenty-five".