10011001111110 has 160 divisors (see below), whose sum is σ = 27196780054752. Its totient is φ = 2642108751360.

The previous prime is 10011001111081. The next prime is 10011001111121. The reversal of 10011001111110 is 1111110011001.

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 = 10011001111092 and 10011001111101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39452562 + ... + 39705498.

Almost surely, 2^{10011001111110} is an apocalyptic number.

10011001111110 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 10011001111110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13598390027376).

10011001111110 is an abundant number, since it is smaller than the sum of its proper divisors (17185778943642).

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

10011001111110 is a wasteful number, since it uses less digits than its factorization.

10011001111110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253460 (or 253451 counting only the distinct ones).

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

Adding to 10011001111110 its reverse (1111110011001), we get a palindrome (11122111122111).

The spelling of 10011001111110 in words is "ten trillion, eleven billion, one million, one hundred eleven thousand, one hundred ten".