111000010006116 has 288 divisors, whose sum is σ = 361529584416000. Its totient is φ = 28829290659840.

The previous prime is 111000010006103. The next prime is 111000010006129. The reversal of 111000010006116 is 611600010000111.

It is an interprime number because it is at equal distance from previous prime (111000010006103) and next prime (111000010006129).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1901665380 + ... + 1901723748.

It is an arithmetic number, because the mean of its divisors is an integer number (1255311057000).

Almost surely, 2^{111000010006116} 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 111000010006116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180764792208000).

111000010006116 is an abundant number, since it is smaller than the sum of its proper divisors (250529574409884).

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

111000010006116 is a wasteful number, since it uses less digits than its factorization.

111000010006116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79200 (or 79181 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 111000010006116 its reverse (611600010000111), we get a palindrome (722600020006227).

The spelling of 111000010006116 in words is "one hundred eleven trillion, ten million, six thousand, one hundred sixteen".