21000233100 has 288 divisors, whose sum is σ = 76512102912. Its totient is φ = 4320000000.

The previous prime is 21000233069. The next prime is 21000233117. The reversal of 21000233100 is 133200012.

It is a happy number.

It is a super-2 number, since 2×21000233100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

21000233100 is a modest number, since divided by 233100 gives 21000 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2328600 + ... + 2337600.

It is an arithmetic number, because the mean of its divisors is an integer number (265667024).

Almost surely, 2^21000233100 is an apocalyptic number.

21000233100 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 21000233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38256051456).

21000233100 is an abundant number, since it is smaller than the sum of its proper divisors (55511869812).

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

21000233100 is a wasteful number, since it uses less digits than its factorization.

21000233100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9137 (or 9130 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 21000233100 its reverse (133200012), we get a palindrome (21133433112).

The spelling of 21000233100 in words is "twenty-one billion, two hundred thirty-three thousand, one hundred".