110100100110966 has 96 divisors (see below), whose sum is σ = 274773293990208. Its totient is φ = 31210693032960.

The previous prime is 110100100110893. The next prime is 110100100110967. The reversal of 110100100110966 is 669011001001011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110100100110967) 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, 1576540 + ... + 14922656.

It is an arithmetic number, because the mean of its divisors is an integer number (2862221812398).

Almost surely, 2^{110100100110966} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110100100110966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137386646995104).

110100100110966 is an abundant number, since it is smaller than the sum of its proper divisors (164673193879242).

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

110100100110966 is a wasteful number, since it uses less digits than its factorization.

110100100110966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13346646 (or 13346643 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 27.

Adding to 110100100110966 its reverse (669011001001011), we get a palindrome (779111101111977).

The spelling of 110100100110966 in words is "one hundred ten trillion, one hundred billion, one hundred million, one hundred ten thousand, nine hundred sixty-six".