21012110313000 has 512 divisors, whose sum is σ = 70158538644480. Its totient is φ = 5217177600000.

The previous prime is 21012110312993. The next prime is 21012110313011. The reversal of 21012110313000 is 31301121012.

It is a happy number.

It is a super-3 number, since 3×21012110313000³ (a number of 41 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9460651890 + ... + 9460654110.

It is an arithmetic number, because the mean of its divisors is an integer number (137028395790).

Almost surely, 2^{21012110313000} is an apocalyptic number.

21012110313000 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 21012110313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35079269322240).

21012110313000 is an abundant number, since it is smaller than the sum of its proper divisors (49146428331480).

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

21012110313000 is a wasteful number, since it uses less digits than its factorization.

21012110313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4166 (or 4152 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 21012110313000 its reverse (31301121012), we get a palindrome (21043411434012).

The spelling of 21012110313000 in words is "twenty-one trillion, twelve billion, one hundred ten million, three hundred thirteen thousand".