21033266100 has 288 divisors, whose sum is σ = 77491040256. Its totient is φ = 4277337600.

The previous prime is 21033266077. The next prime is 21033266119. The reversal of 21033266100 is 166233012.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1076014 + ... + 1095386.

It is an arithmetic number, because the mean of its divisors is an integer number (269066112).

Almost surely, 2^21033266100 is an apocalyptic number.

21033266100 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 21033266100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38745520128).

21033266100 is an abundant number, since it is smaller than the sum of its proper divisors (56457774156).

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

21033266100 is a wasteful number, since it uses less digits than its factorization.

21033266100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19455 (or 19448 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 21033266100 its reverse (166233012), we get a palindrome (21199499112).

The spelling of 21033266100 in words is "twenty-one billion, thirty-three million, two hundred sixty-six thousand, one hundred".