10220223321000 has 384 divisors, whose sum is σ = 43068289455360. Its totient is φ = 2123682624000.

The previous prime is 10220223320981. The next prime is 10220223321047. The reversal of 10220223321000 is 12332202201.

10220223321000 is a `hidden beast` number, since 1 + 0 + 220 + 2 + 233 + 210 + 0 + 0 = 666.

10220223321000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10220223321000² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6680899 + ... + 8066898.

It is an arithmetic number, because the mean of its divisors is an integer number (112157003790).

Almost surely, 2^{10220223321000} is an apocalyptic number.

10220223321000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220223321000 is an abundant number, since it is smaller than the sum of its proper divisors (32848066134360).

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

10220223321000 is a wasteful number, since it uses less digits than its factorization.

10220223321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14747842 (or 14747825 counting only the distinct ones).

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

Adding to 10220223321000 its reverse (12332202201), we get a palindrome (10232555523201).

The spelling of 10220223321000 in words is "ten trillion, two hundred twenty billion, two hundred twenty-three million, three hundred twenty-one thousand".