112100346666 has 144 divisors (see below), whose sum is σ = 305441764992. Its totient is φ = 29085376320.

The previous prime is 112100346649. The next prime is 112100346689. The reversal of 112100346666 is 666643001211.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 112100346666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16203040 + ... + 16209956.

It is an arithmetic number, because the mean of its divisors is an integer number (2121123368).

Almost surely, 2^112100346666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112100346666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152720882496).

112100346666 is an abundant number, since it is smaller than the sum of its proper divisors (193341418326).

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

112100346666 is a wasteful number, since it uses less digits than its factorization.

112100346666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8017 (or 8003 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 112100346666 its reverse (666643001211), we get a palindrome (778743347877).

The spelling of 112100346666 in words is "one hundred twelve billion, one hundred million, three hundred forty-six thousand, six hundred sixty-six".