117117117116100 has 288 divisors, whose sum is σ = 399219873292800. Its totient is φ = 29352633292800.

The previous prime is 117117117116009. The next prime is 117117117116101. The reversal of 117117117116100 is 1611711711711.

It is a happy number.

117117117116100 is a `hidden beast` number, since 1 + 1 + 7 + 1 + 17 + 1 + 17 + 11 + 610 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (117117117116101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30743685 + ... + 34342515.

It is an arithmetic number, because the mean of its divisors is an integer number (1386180115600).

Almost surely, 2^{117117117116100} is an apocalyptic number.

117117117116100 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 117117117116100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199609936646400).

117117117116100 is an abundant number, since it is smaller than the sum of its proper divisors (282102756176700).

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

117117117116100 is a wasteful number, since it uses less digits than its factorization.

117117117116100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3599580 (or 3599567 counting only the distinct ones).

The product of its (nonzero) digits is 2058, while the sum is 36.

Adding to 117117117116100 its reverse (1611711711711), we get a palindrome (118728828827811).

The spelling of 117117117116100 in words is "one hundred seventeen trillion, one hundred seventeen billion, one hundred seventeen million, one hundred sixteen thousand, one hundred".