221121020100 has 72 divisors (see below), whose sum is σ = 650620545120. Its totient is φ = 57966183680.

The previous prime is 221121020089. The next prime is 221121020129. The reversal of 221121020100 is 1020121122.

221121020100 is digitally balanced in base 2, 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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6228657 + ... + 6264056.

It is an arithmetic number, because the mean of its divisors is an integer number (9036396460).

Almost surely, 2^221121020100 is an apocalyptic number.

221121020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221121020100 is an abundant number, since it is smaller than the sum of its proper divisors (429499525020).

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

221121020100 is a wasteful number, since it uses less digits than its factorization.

221121020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12492789 (or 12492782 counting only the distinct ones).

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

Adding to 221121020100 its reverse (1020121122), we get a palindrome (222141141222).

The spelling of 221121020100 in words is "two hundred twenty-one billion, one hundred twenty-one million, twenty thousand, one hundred".