21034113100 has 144 divisors (see below), whose sum is σ = 61284577536. Its totient is φ = 6051744000.

The previous prime is 21034113059. The next prime is 21034113131. The reversal of 21034113100 is 131143012.

It is a super-2 number, since 2×21034113100² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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, 4966 + ... + 205165.

It is an arithmetic number, because the mean of its divisors is an integer number (425587344).

Almost surely, 2^21034113100 is an apocalyptic number.

21034113100 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 21034113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30642288768).

21034113100 is an abundant number, since it is smaller than the sum of its proper divisors (40250464436).

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

21034113100 is a wasteful number, since it uses less digits than its factorization.

21034113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210176 (or 210169 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 21034113100 its reverse (131143012), we get a palindrome (21165256112).

The spelling of 21034113100 in words is "twenty-one billion, thirty-four million, one hundred thirteen thousand, one hundred".