10118217120 has 192 divisors, whose sum is σ = 35090858880. Its totient is φ = 2430259200.

The previous prime is 10118217119. The next prime is 10118217167. The reversal of 10118217120 is 2171281101.

It is a super-2 number, since 2×10118217120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 566730 + ... + 584310.

It is an arithmetic number, because the mean of its divisors is an integer number (182764890).

Almost surely, 2^10118217120 is an apocalyptic number.

10118217120 is a gapful number since it is divisible by the number (10) 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 10118217120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17545429440).

10118217120 is an abundant number, since it is smaller than the sum of its proper divisors (24972641760).

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

10118217120 is a wasteful number, since it uses less digits than its factorization.

10118217120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17719 (or 17711 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 24.

Adding to 10118217120 its reverse (2171281101), we get a palindrome (12289498221).

The spelling of 10118217120 in words is "ten billion, one hundred eighteen million, two hundred seventeen thousand, one hundred twenty".