10011011011110 has 48 divisors (see below), whose sum is σ = 26038808589456. Its totient is φ = 2668558837824.

The previous prime is 10011011011109. The next prime is 10011011011159. The reversal of 10011011011110 is 1111011011001.

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 = 10011011011092 and 10011011011101.

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, 21520644 + ... + 21980903.

It is an arithmetic number, because the mean of its divisors is an integer number (542475178947).

Almost surely, 2^{10011011011110} is an apocalyptic number.

10011011011110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10011011011110 is an abundant number, since it is smaller than the sum of its proper divisors (16027797578346).

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

10011011011110 is a wasteful number, since it uses less digits than its factorization.

10011011011110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43504117 (or 43504114 counting only the distinct ones).

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

Adding to 10011011011110 its reverse (1111011011001), we get a palindrome (11122022022111).

The spelling of 10011011011110 in words is "ten trillion, eleven billion, eleven million, eleven thousand, one hundred ten".