100011220221000 has 256 divisors, whose sum is σ = 343082169630720. Its totient is φ = 24054236640000.

The previous prime is 100011220220981. The next prime is 100011220221041. The reversal of 100011220221000 is 122022110001.

100011220221000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7740666 + ... + 16122665.

It is an arithmetic number, because the mean of its divisors is an integer number (1340164725120).

Almost surely, 2^{100011220221000} is an apocalyptic number.

100011220221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100011220221000 is an abundant number, since it is smaller than the sum of its proper divisors (243070949409720).

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

100011220221000 is a wasteful number, since it uses less digits than its factorization.

100011220221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23863493 (or 23863479 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100011220221000 its reverse (122022110001), we get a palindrome (100133242331001).

The spelling of 100011220221000 in words is "one hundred trillion, eleven billion, two hundred twenty million, two hundred twenty-one thousand".