21042033100 has 108 divisors (see below), whose sum is σ = 50588484352. Its totient is φ = 7590844800.

The previous prime is 21042033043. The next prime is 21042033109. The reversal of 21042033100 is 133024012.

It is a happy number.

It is a super-2 number, since 2×21042033100² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21042033109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1529854 + ... + 1543546.

Almost surely, 2^21042033100 is an apocalyptic number.

21042033100 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 21042033100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25294242176).

21042033100 is an abundant number, since it is smaller than the sum of its proper divisors (29546451252).

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

21042033100 is a wasteful number, since it uses less digits than its factorization.

21042033100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13856 (or 13838 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 21042033100 its reverse (133024012), we get a palindrome (21175057112).

The spelling of 21042033100 in words is "twenty-one billion, forty-two million, thirty-three thousand, one hundred".