117101107200 has 576 divisors, whose sum is σ = 482691605760. Its totient is φ = 24330240000.

The previous prime is 117101107187. The next prime is 117101107219. The reversal of 117101107200 is 2701101711.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11822250 + ... + 11832150.

It is an arithmetic number, because the mean of its divisors is an integer number (838006260).

Almost surely, 2^117101107200 is an apocalyptic number.

117101107200 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 117101107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241345802880).

117101107200 is an abundant number, since it is smaller than the sum of its proper divisors (365590498560).

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

117101107200 is a wasteful number, since it uses less digits than its factorization.

117101107200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9954 (or 9929 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 21.

Adding to 117101107200 its reverse (2701101711), we get a palindrome (119802208911).

The spelling of 117101107200 in words is "one hundred seventeen billion, one hundred one million, one hundred seven thousand, two hundred".