21342114014100 has 144 divisors (see below), whose sum is σ = 67374283394880. Its totient is φ = 5173015500800.

The previous prime is 21342114014071. The next prime is 21342114014113. The reversal of 21342114014100 is 141041124312.

It is a happy number.

It is a super-2 number, since 2×21342114014100² (a number of 27 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 20171884 + ... + 21203516.

It is an arithmetic number, because the mean of its divisors is an integer number (467876968020).

Almost surely, 2^{21342114014100} is an apocalyptic number.

21342114014100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21342114014100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33687141697440).

21342114014100 is an abundant number, since it is smaller than the sum of its proper divisors (46032169380780).

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

21342114014100 is a wasteful number, since it uses less digits than its factorization.

21342114014100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037930 (or 1037923 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 21342114014100 its reverse (141041124312), we get a palindrome (21483155138412).

The spelling of 21342114014100 in words is "twenty-one trillion, three hundred forty-two billion, one hundred fourteen million, fourteen thousand, one hundred".