21214334032100 has 144 divisors (see below), whose sum is σ = 50444808825600. Its totient is φ = 7679806848000.

The previous prime is 21214334032043. The next prime is 21214334032117. The reversal of 21214334032100 is 123043341212.

It is a self number, because there is not a number n which added to its sum of digits gives 21214334032100.

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, 1111794560 + ... + 1111813640.

It is an arithmetic number, because the mean of its divisors is an integer number (350311172400).

Almost surely, 2^{21214334032100} is an apocalyptic number.

21214334032100 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 21214334032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25222404412800).

21214334032100 is an abundant number, since it is smaller than the sum of its proper divisors (29230474793500).

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

21214334032100 is a wasteful number, since it uses less digits than its factorization.

21214334032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23574 (or 23567 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 21214334032100 its reverse (123043341212), we get a palindrome (21337377373312).

It can be divided in two parts, 212143 and 34032100, that added together give a palindrome (34244243).

The spelling of 21214334032100 in words is "twenty-one trillion, two hundred fourteen billion, three hundred thirty-four million, thirty-two thousand, one hundred".