100111010110110 has 192 divisors, whose sum is σ = 262320707450880. Its totient is φ = 26488580428800.

The previous prime is 100111010110103. The next prime is 100111010110127. The reversal of 100111010110110 is 11011010111001.

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 = 100111010110092 and 100111010110101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15923491387 + ... + 15923497673.

It is an arithmetic number, because the mean of its divisors is an integer number (1366253684640).

Almost surely, 2^{100111010110110} is an apocalyptic number.

100111010110110 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 100111010110110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131160353725440).

100111010110110 is an abundant number, since it is smaller than the sum of its proper divisors (162209697340770).

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

100111010110110 is a wasteful number, since it uses less digits than its factorization.

100111010110110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8503 (or 8500 counting only the distinct ones).

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

Adding to 100111010110110 its reverse (11011010111001), we get a palindrome (111122020221111).

The spelling of 100111010110110 in words is "one hundred trillion, one hundred eleven billion, ten million, one hundred ten thousand, one hundred ten".