21100320312000 has 448 divisors, whose sum is σ = 70241227056000. Its totient is φ = 5580993331200.

The previous prime is 21100320311927. The next prime is 21100320312073. The reversal of 21100320312000 is 21302300112.

It is an interprime number because it is at equal distance from previous prime (21100320311927) and next prime (21100320312073).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2749940164 + ... + 2749947836.

It is an arithmetic number, because the mean of its divisors is an integer number (156788453250).

Almost surely, 2^{21100320312000} is an apocalyptic number.

21100320312000 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 21100320312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35120613528000).

21100320312000 is an abundant number, since it is smaller than the sum of its proper divisors (49140906744000).

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

21100320312000 is a wasteful number, since it uses less digits than its factorization.

21100320312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8621 (or 8601 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 21100320312000 its reverse (21302300112), we get a palindrome (21121622612112).

The spelling of 21100320312000 in words is "twenty-one trillion, one hundred billion, three hundred twenty million, three hundred twelve thousand".