10111010110110 has 960 divisors, whose sum is σ = 34236779601024. Its totient is φ = 2096160768000.

The previous prime is 10111010110063. The next prime is 10111010110193. The reversal of 10111010110110 is 1101101011101.

10111010110110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10111010110092 and 10111010110101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 16823643810 + ... + 16823644410.

Almost surely, 2^{10111010110110} is an apocalyptic number.

10111010110110 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 10111010110110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17118389800512).

10111010110110 is an abundant number, since it is smaller than the sum of its proper divisors (24125769490914).

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

10111010110110 is a wasteful number, since it uses less digits than its factorization.

10111010110110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 10111010110110 its reverse (1101101011101), we get a palindrome (11212111121211).

Subtracting from 10111010110110 its reverse (1101101011101), we obtain a palindrome (9009909099009).

The spelling of 10111010110110 in words is "ten trillion, one hundred eleven billion, ten million, one hundred ten thousand, one hundred ten".