10021322100000 has 288 divisors, whose sum is σ = 32903187811200. Its totient is φ = 2670497280000.

The previous prime is 10021322099969. The next prime is 10021322100001. The reversal of 10021322100000 is 122312001.

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

It is not an unprimeable number, because it can be changed into a prime (10021322100001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 462889176 + ... + 462910824.

It is an arithmetic number, because the mean of its divisors is an integer number (114247179900).

Almost surely, 2^{10021322100000} is an apocalyptic number.

10021322100000 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 10021322100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16451593905600).

10021322100000 is an abundant number, since it is smaller than the sum of its proper divisors (22881865711200).

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

10021322100000 is an equidigital number, since it uses as much as digits as its factorization.

10021322100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23230 (or 23202 counting only the distinct ones).

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

Adding to 10021322100000 its reverse (122312001), we get a palindrome (10021444412001).

The spelling of 10021322100000 in words is "ten trillion, twenty-one billion, three hundred twenty-two million, one hundred thousand".