101110110112 has 192 divisors, whose sum is σ = 241453384704. Its totient is φ = 41112023040.

The previous prime is 101110110097. The next prime is 101110110139. The reversal of 101110110112 is 211011011101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22431763 + ... + 22436269.

It is an arithmetic number, because the mean of its divisors is an integer number (1257569712).

Almost surely, 2^101110110112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101110110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120726692352).

101110110112 is an abundant number, since it is smaller than the sum of its proper divisors (140343274592).

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

101110110112 is a wasteful number, since it uses less digits than its factorization.

101110110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4731 (or 4723 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 101110110112 its reverse (211011011101), we get a palindrome (312121121213).

The spelling of 101110110112 in words is "one hundred one billion, one hundred ten million, one hundred ten thousand, one hundred twelve".