100010011110 has 128 divisors (see below), whose sum is σ = 257361960960. Its totient is φ = 24783458304.

The previous prime is 100010011063. The next prime is 100010011133. The reversal of 100010011110 is 11110010001.

100010011110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49337917 + ... + 49339943.

It is an arithmetic number, because the mean of its divisors is an integer number (2010640320).

Almost surely, 2^100010011110 is an apocalyptic number.

100010011110 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 100010011110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128680980480).

100010011110 is an abundant number, since it is smaller than the sum of its proper divisors (157351949850).

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

100010011110 is a wasteful number, since it uses less digits than its factorization.

100010011110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3230.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100010011110 its reverse (11110010001), we get a palindrome (111120021111).

The spelling of 100010011110 in words is "one hundred billion, ten million, eleven thousand, one hundred ten".