21433212043100 has 288 divisors, whose sum is σ = 56243039381760. Its totient is φ = 7027020000000.

The previous prime is 21433212043073. The next prime is 21433212043141. The reversal of 21433212043100 is 134021233412.

It is a super-2 number, since 2×21433212043100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 21433212043100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103814975 + ... + 104021225.

Almost surely, 2^{21433212043100} is an apocalyptic number.

21433212043100 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 21433212043100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28121519690880).

21433212043100 is an abundant number, since it is smaller than the sum of its proper divisors (34809827338660).

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

21433212043100 is a wasteful number, since it uses less digits than its factorization.

21433212043100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206358 (or 206325 counting only the distinct ones).

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

Adding to 21433212043100 its reverse (134021233412), we get a palindrome (21567233276512).

The spelling of 21433212043100 in words is "twenty-one trillion, four hundred thirty-three billion, two hundred twelve million, forty-three thousand, one hundred".