21114102040400 has 30 divisors (see below), whose sum is σ = 50726630153022. Its totient is φ = 8445640816000.

The previous prime is 21114102040391. The next prime is 21114102040411. The reversal of 21114102040400 is 404020141112.

It can be written as a sum of positive squares in 3 ways, for example, as 6242682143296 + 14871419897104 = 2498536^2 + 3856348^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 26392627151 + ... + 26392627950.

Almost surely, 2^{21114102040400} is an apocalyptic number.

21114102040400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21114102040400 is an abundant number, since it is smaller than the sum of its proper divisors (29612528112622).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21114102040400 is a wasteful number, since it uses less digits than its factorization.

21114102040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52785255119 (or 52785255108 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 21114102040400 its reverse (404020141112), we get a palindrome (21518122181512).

The spelling of 21114102040400 in words is "twenty-one trillion, one hundred fourteen billion, one hundred two million, forty thousand, four hundred".