100111101010110 has 128 divisors (see below), whose sum is σ = 273188050882560. Its totient is φ = 26073857916288.

The previous prime is 100111101010103. The next prime is 100111101010117. The reversal of 100111101010110 is 11010101111001.

It is an interprime number because it is at equal distance from previous prime (100111101010103) and next prime (100111101010117).

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100111101010092 and 100111101010101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111101010117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 196267764 + ... + 196777176.

It is an arithmetic number, because the mean of its divisors is an integer number (2134281647520).

Almost surely, 2^{100111101010110} is an apocalyptic number.

100111101010110 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 100111101010110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136594025441280).

100111101010110 is an abundant number, since it is smaller than the sum of its proper divisors (173076949872450).

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

100111101010110 is a wasteful number, since it uses less digits than its factorization.

100111101010110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526399 (or 526393 counting only the distinct ones).

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

Adding to 100111101010110 its reverse (11010101111001), we get a palindrome (111121202121111).

The spelling of 100111101010110 in words is "one hundred trillion, one hundred eleven billion, one hundred one million, ten thousand, one hundred ten".