221111120121100 has 432 divisors, whose sum is σ = 550468525759488. Its totient is φ = 76946126400000.

The previous prime is 221111120121077. The next prime is 221111120121163. The reversal of 221111120121100 is 1121021111122.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35877186619 + ... + 35877192781.

Almost surely, 2^{221111120121100} is an apocalyptic number.

221111120121100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221111120121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275234262879744).

221111120121100 is an abundant number, since it is smaller than the sum of its proper divisors (329357405638388).

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

221111120121100 is a wasteful number, since it uses less digits than its factorization.

221111120121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7278 (or 7260 counting only the distinct ones).

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

Adding to 221111120121100 its reverse (1121021111122), we get a palindrome (222232141232222).

The spelling of 221111120121100 in words is "two hundred twenty-one trillion, one hundred eleven billion, one hundred twenty million, one hundred twenty-one thousand, one hundred".