100110011011110 has 24 divisors (see below), whose sum is σ = 260286028629120. Its totient is φ = 26696002936272.

The previous prime is 100110011011103. The next prime is 100110011011111. The reversal of 100110011011110 is 11110110011001.

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 = 100110011011092 and 100110011011101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110011011111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 556166727750 + ... + 556166727929.

It is an arithmetic number, because the mean of its divisors is an integer number (10845251192880).

Almost surely, 2^{100110011011110} is an apocalyptic number.

100110011011110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100110011011110 is an abundant number, since it is smaller than the sum of its proper divisors (160176017618010).

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

100110011011110 is a wasteful number, since it uses less digits than its factorization.

100110011011110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112333455692 (or 1112333455689 counting only the distinct ones).

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

Adding to 100110011011110 its reverse (11110110011001), we get a palindrome (111220121022111).

The spelling of 100110011011110 in words is "one hundred trillion, one hundred ten billion, eleven million, eleven thousand, one hundred ten".