10021001210000 has 200 divisors, whose sum is σ = 26600528856000. Its totient is φ = 3625680960000.

The previous prime is 10021001209993. The next prime is 10021001210069. The reversal of 10021001210000 is 1210012001.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 10021001210000.

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 39 ways as a sum of consecutive naturals, for example, 21661106 + ... + 22118894.

It is an arithmetic number, because the mean of its divisors is an integer number (133002644280).

Almost surely, 2^{10021001210000} is an apocalyptic number.

10021001210000 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 10021001210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13300264428000).

10021001210000 is an abundant number, since it is smaller than the sum of its proper divisors (16579527646000).

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

10021001210000 is a wasteful number, since it uses less digits than its factorization.

10021001210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458027 (or 458006 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10021001210000 its reverse (1210012001), we get a palindrome (10022211222001).

The spelling of 10021001210000 in words is "ten trillion, twenty-one billion, one million, two hundred ten thousand".