110016102141612 has 144 divisors (see below), whose sum is σ = 293985158594400. Its totient is φ = 34593452006400.

The previous prime is 110016102141611. The next prime is 110016102141619. The reversal of 110016102141612 is 216141201610011.

It is a happy number.

110016102141612 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 1 + 6 + 1 + 0 + 2 + 1 + 41 + 612 = 666.

It is not an unprimeable number, because it can be changed into a prime (110016102141611) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 331210798 + ... + 331542794.

It is an arithmetic number, because the mean of its divisors is an integer number (2041563601350).

Almost surely, 2^{110016102141612} is an apocalyptic number.

110016102141612 is a gapful number since it is divisible by the number (12) 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 110016102141612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146992579297200).

110016102141612 is an abundant number, since it is smaller than the sum of its proper divisors (183969056452788).

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

110016102141612 is a wasteful number, since it uses less digits than its factorization.

110016102141612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334096 (or 334091 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

Adding to 110016102141612 its reverse (216141201610011), we get a palindrome (326157303751623).

The spelling of 110016102141612 in words is "one hundred ten trillion, sixteen billion, one hundred two million, one hundred forty-one thousand, six hundred twelve".