21102322033300 has 72 divisors (see below), whose sum is σ = 46993139980920. Its totient is φ = 8220266956800.

The previous prime is 21102322033237. The next prime is 21102322033363. The reversal of 21102322033300 is 333022320112.

It is an interprime number because it is at equal distance from previous prime (21102322033237) and next prime (21102322033363).

It can be written as a sum of positive squares in 12 ways, for example, as 19899325469956 + 1202996563344 = 4460866^2 + 1096812^2 .

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2336505 + ... + 6903904.

It is an arithmetic number, because the mean of its divisors is an integer number (652682499735).

Almost surely, 2^{21102322033300} is an apocalyptic number.

21102322033300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21102322033300 is an abundant number, since it is smaller than the sum of its proper divisors (25890817947620).

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

21102322033300 is a wasteful number, since it uses less digits than its factorization.

21102322033300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9241021 (or 9241014 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 21102322033300 its reverse (333022320112), we get a palindrome (21435344353412).

The spelling of 21102322033300 in words is "twenty-one trillion, one hundred two billion, three hundred twenty-two million, thirty-three thousand, three hundred".