100011001111110 has 48 divisors (see below), whose sum is σ = 267056402975856. Its totient is φ = 25948800287424.

The previous prime is 100011001111061. The next prime is 100011001111121. The reversal of 100011001111110 is 11111100110001.

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 = 100011001111092 and 100011001111101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15016663504 + ... + 15016670163.

It is an arithmetic number, because the mean of its divisors is an integer number (5563675061997).

Almost surely, 2^{100011001111110} is an apocalyptic number.

100011001111110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100011001111110 is an abundant number, since it is smaller than the sum of its proper divisors (167045401864746).

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

100011001111110 is a wasteful number, since it uses less digits than its factorization.

100011001111110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30033333717 (or 30033333714 counting only the distinct ones).

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

Adding to 100011001111110 its reverse (11111100110001), we get a palindrome (111122101221111).

The spelling of 100011001111110 in words is "one hundred trillion, eleven billion, one million, one hundred eleven thousand, one hundred ten".