221121000101100 has 144 divisors (see below), whose sum is σ = 697944078720000. Its totient is φ = 53604645868800.

The previous prime is 221121000101087. The next prime is 221121000101161. The reversal of 221121000101100 is 1101000121122.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 581708901 + ... + 582088899.

It is an arithmetic number, because the mean of its divisors is an integer number (4846833880000).

Almost surely, 2^{221121000101100} is an apocalyptic number.

221121000101100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221121000101100 is an abundant number, since it is smaller than the sum of its proper divisors (476823078618900).

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

221121000101100 is a wasteful number, since it uses less digits than its factorization.

221121000101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556360 (or 556353 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 221121000101100 its reverse (1101000121122), we get a palindrome (222222000222222).

The spelling of 221121000101100 in words is "two hundred twenty-one trillion, one hundred twenty-one billion, one hundred one thousand, one hundred".