21330010100 has 72 divisors (see below), whose sum is σ = 53100018048. Its totient is φ = 7285276800.

The previous prime is 21330010073. The next prime is 21330010127. The reversal of 21330010100 is 101003312.

It is an interprime number because it is at equal distance from previous prime (21330010073) and next prime (21330010127).

It is a super-2 number, since 2×21330010100² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126170 + ... + 242030.

Almost surely, 2^21330010100 is an apocalyptic number.

21330010100 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 21330010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26550009024).

21330010100 is an abundant number, since it is smaller than the sum of its proper divisors (31770007948).

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

21330010100 is a wasteful number, since it uses less digits than its factorization.

21330010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116145 (or 116138 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 21330010100 its reverse (101003312), we get a palindrome (21431013412).

The spelling of 21330010100 in words is "twenty-one billion, three hundred thirty million, ten thousand, one hundred".