10021332222000 has 480 divisors, whose sum is σ = 40192749642240. Its totient is φ = 2301549120000.

The previous prime is 10021332221897. The next prime is 10021332222049. The reversal of 10021332222000 is 22223312001.

10021332222000 is a `hidden beast` number, since 100 + 21 + 3 + 322 + 220 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2430085 + ... + 5093915.

It is an arithmetic number, because the mean of its divisors is an integer number (83734895088).

Almost surely, 2^{10021332222000} is an apocalyptic number.

10021332222000 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 10021332222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20096374821120).

10021332222000 is an abundant number, since it is smaller than the sum of its proper divisors (30171417420240).

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

10021332222000 is a wasteful number, since it uses less digits than its factorization.

10021332222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2663890 (or 2663871 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10021332222000 its reverse (22223312001), we get a palindrome (10043555534001).

The spelling of 10021332222000 in words is "ten trillion, twenty-one billion, three hundred thirty-two million, two hundred twenty-two thousand".