101112220110 has 128 divisors (see below), whose sum is σ = 271647613440. Its totient is φ = 23873587200.

The previous prime is 101112220087. The next prime is 101112220141. The reversal of 101112220110 is 11022211101.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8369034 + ... + 8381106.

It is an arithmetic number, because the mean of its divisors is an integer number (2122246980).

Almost surely, 2^101112220110 is an apocalyptic number.

101112220110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101112220110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135823806720).

101112220110 is an abundant number, since it is smaller than the sum of its proper divisors (170535393330).

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

101112220110 is a wasteful number, since it uses less digits than its factorization.

101112220110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12754.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101112220110 its reverse (11022211101), we get a palindrome (112134431211).

Subtracting from 101112220110 its reverse (11022211101), we obtain a palindrome (90090009009).

The spelling of 101112220110 in words is "one hundred one billion, one hundred twelve million, two hundred twenty thousand, one hundred ten".