10000111221000 has 96 divisors (see below), whose sum is σ = 33800375957400. Its totient is φ = 2666696323200.

The previous prime is 10000111220929. The next prime is 10000111221077. The reversal of 10000111221000 is 12211100001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2963155989924 + 7036955231076 = 1721382^2 + 2652726^2 .

It is a super-2 number, since 2×10000111221000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 23 ways as a sum of consecutive naturals, for example, 555552735 + ... + 555570734.

Almost surely, 2^{10000111221000} is an apocalyptic number.

10000111221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000111221000 is an abundant number, since it is smaller than the sum of its proper divisors (23800264736400).

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

10000111221000 is a wasteful number, since it uses less digits than its factorization.

10000111221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111123496 (or 1111123479 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10000111221000 its reverse (12211100001), we get a palindrome (10012322321001).

The spelling of 10000111221000 in words is "ten trillion, one hundred eleven million, two hundred twenty-one thousand".