10021210320000 has 1920 divisors, whose sum is σ = 39545797294080. Its totient is φ = 2237480960000.

The previous prime is 10021210319999. The next prime is 10021210320061. The reversal of 10021210320000 is 2301212001.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 26165039809 + ... + 26165040191.

It is an arithmetic number, because the mean of its divisors is an integer number (20596769424).

Almost surely, 2^{10021210320000} is an apocalyptic number.

10021210320000 is a gapful number since it is divisible by the number (10) 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 10021210320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19772898647040).

10021210320000 is an abundant number, since it is smaller than the sum of its proper divisors (29524586974080).

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

10021210320000 is a wasteful number, since it uses less digits than its factorization.

10021210320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10021210320000 its reverse (2301212001), we get a palindrome (10023511532001).

The spelling of 10021210320000 in words is "ten trillion, twenty-one billion, two hundred ten million, three hundred twenty thousand".