221121101112100 has 216 divisors, whose sum is σ = 579024657550080. Its totient is φ = 73027596096000.

The previous prime is 221121101112047. The next prime is 221121101112169. The reversal of 221121101112100 is 1211101121122.

It is a super-3 number, since 3×221121101112100³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8904945 + ... + 22837255.

It is an arithmetic number, because the mean of its divisors is an integer number (2680669710880).

Almost surely, 2^{221121101112100} is an apocalyptic number.

221121101112100 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 221121101112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289512328775040).

221121101112100 is an abundant number, since it is smaller than the sum of its proper divisors (357903556437980).

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

221121101112100 is a wasteful number, since it uses less digits than its factorization.

221121101112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13932459 (or 13932445 counting only the distinct ones).

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

Adding to 221121101112100 its reverse (1211101121122), we get a palindrome (222332202233222).

The spelling of 221121101112100 in words is "two hundred twenty-one trillion, one hundred twenty-one billion, one hundred one million, one hundred twelve thousand, one hundred".