10221311333000 has 32 divisors (see below), whose sum is σ = 23917868521560. Its totient is φ = 4088524532800.

The previous prime is 10221311332963. The next prime is 10221311333029. The reversal of 10221311333000 is 33311312201.

It can be written as a sum of positive squares in 4 ways, for example, as 4775090299204 + 5446221033796 = 2185198^2 + 2333714^2 .

It is a super-2 number, since 2×10221311333000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 7 ways as a sum of consecutive naturals, for example, 5110654667 + ... + 5110656666.

Almost surely, 2^{10221311333000} is an apocalyptic number.

10221311333000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221311333000 is an abundant number, since it is smaller than the sum of its proper divisors (13696557188560).

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

10221311333000 is a wasteful number, since it uses less digits than its factorization.

10221311333000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10221311354 (or 10221311340 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 10221311333000 its reverse (33311312201), we get a palindrome (10254622645201).

The spelling of 10221311333000 in words is "ten trillion, two hundred twenty-one billion, three hundred eleven million, three hundred thirty-three thousand".