21233110100 has 144 divisors (see below), whose sum is σ = 49604825088. Its totient is φ = 7869797760.

The previous prime is 21233110091. The next prime is 21233110103. The reversal of 21233110100 is 101133212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21233110103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11133347 + ... + 11135253.

It is an arithmetic number, because the mean of its divisors is an integer number (344477952).

Almost surely, 2^21233110100 is an apocalyptic number.

21233110100 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 21233110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24802412544).

21233110100 is an abundant number, since it is smaller than the sum of its proper divisors (28371714988).

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

21233110100 is a wasteful number, since it uses less digits than its factorization.

21233110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2094 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 21233110100 its reverse (101133212), we get a palindrome (21334243312).

The spelling of 21233110100 in words is "twenty-one billion, two hundred thirty-three million, one hundred ten thousand, one hundred".