100010111110110 has 96 divisors (see below), whose sum is σ = 261355395292992. Its totient is φ = 26533053872640.

The previous prime is 100010111110031. The next prime is 100010111110123. The reversal of 100010111110110 is 11011111010001.

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 = 100010111110092 and 100010111110101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 611372730 + ... + 611536290.

It is an arithmetic number, because the mean of its divisors is an integer number (2722452034302).

Almost surely, 2^{100010111110110} is an apocalyptic number.

100010111110110 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 100010111110110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130677697646496).

100010111110110 is an abundant number, since it is smaller than the sum of its proper divisors (161345284182882).

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

100010111110110 is a wasteful number, since it uses less digits than its factorization.

100010111110110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198258 (or 198255 counting only the distinct ones).

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

Adding to 100010111110110 its reverse (11011111010001), we get a palindrome (111021222120111).

The spelling of 100010111110110 in words is "one hundred trillion, ten billion, one hundred eleven million, one hundred ten thousand, one hundred ten".