8101881018 has 96 divisors (see below), whose sum is σ = 21922048512. Its totient is φ = 2100880800.

The previous prime is 8101880993. The next prime is 8101881043.

8101881018 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (8101880993) and next prime (8101881043).

8101881018 is a strobogrammatic number because it is the same when read upside-down.

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, 886653 + ... + 895743.

It is an arithmetic number, because the mean of its divisors is an integer number (228354672).

Almost surely, 2^8101881018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8101881018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10961024256).

8101881018 is an abundant number, since it is smaller than the sum of its proper divisors (13820167494).

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

8101881018 is a wasteful number, since it uses less digits than its factorization.

8101881018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9760 (or 9757 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 36.

The square root of 8101881018 is about 90010.4494933783. The cubic root of 8101881018 is about 2008.4542969092.

The spelling of 8101881018 in words is "eight billion, one hundred one million, eight hundred eighty-one thousand, eighteen".