21314130312100 has 144 divisors (see below), whose sum is σ = 50020443986688. Its totient is φ = 7852454184960.

The previous prime is 21314130312073. The next prime is 21314130312143. The reversal of 21314130312100 is 121303141312.

It is a super-2 number, since 2×21314130312100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1249867174 + ... + 1249884226.

It is an arithmetic number, because the mean of its divisors is an integer number (347364194352).

Almost surely, 2^{21314130312100} is an apocalyptic number.

21314130312100 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 21314130312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25010221993344).

21314130312100 is an abundant number, since it is smaller than the sum of its proper divisors (28706313674588).

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

21314130312100 is a wasteful number, since it uses less digits than its factorization.

21314130312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32774 (or 32767 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 21314130312100 its reverse (121303141312), we get a palindrome (21435433453412).

The spelling of 21314130312100 in words is "twenty-one trillion, three hundred fourteen billion, one hundred thirty million, three hundred twelve thousand, one hundred".