8216221135100 has 144 divisors (see below), whose sum is σ = 19488856279200. Its totient is φ = 2981760076800.

The previous prime is 8216221135063. The next prime is 8216221135139. The reversal of 8216221135100 is 15311226128.

It is a congruent number.

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, 1453423874 + ... + 1453429526.

Almost surely, 2^{8216221135100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8216221135100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9744428139600).

8216221135100 is an abundant number, since it is smaller than the sum of its proper divisors (11272635144100).

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

8216221135100 is a wasteful number, since it uses less digits than its factorization.

8216221135100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8080 (or 8073 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The spelling of 8216221135100 in words is "eight trillion, two hundred sixteen billion, two hundred twenty-one million, one hundred thirty-five thousand, one hundred".