100110101011110 has 64 divisors (see below), whose sum is σ = 266964828480000. Its totient is φ = 26695571024736.

The previous prime is 100110101011093. The next prime is 100110101011171. The reversal of 100110101011110 is 11110101011001.

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 = 100110101011092 and 100110101011101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12822391 + ... + 19095389.

It is an arithmetic number, because the mean of its divisors is an integer number (4171325445000).

Almost surely, 2^{100110101011110} is an apocalyptic number.

100110101011110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100110101011110 is an abundant number, since it is smaller than the sum of its proper divisors (166854727468890).

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

100110101011110 is a wasteful number, since it uses less digits than its factorization.

100110101011110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6332122 (or 6332116 counting only the distinct ones).

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

Adding to 100110101011110 its reverse (11110101011001), we get a palindrome (111220202022111).

The spelling of 100110101011110 in words is "one hundred trillion, one hundred ten billion, one hundred one million, eleven thousand, one hundred ten".