8157221536100 has 216 divisors, whose sum is σ = 22187269173888. Its totient is φ = 2580208646400.

The previous prime is 8157221536097. The next prime is 8157221536159. The reversal of 8157221536100 is 16351227518.

It is a happy number.

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, 119148479 + ... + 119216921.

It is an arithmetic number, because the mean of its divisors is an integer number (102718838768).

Almost surely, 2^{8157221536100} 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 8157221536100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11093634586944).

8157221536100 is an abundant number, since it is smaller than the sum of its proper divisors (14030047637788).

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

8157221536100 is a wasteful number, since it uses less digits than its factorization.

8157221536100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70355 (or 70341 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 41.

The spelling of 8157221536100 in words is "eight trillion, one hundred fifty-seven billion, two hundred twenty-one million, five hundred thirty-six thousand, one hundred".