10011011121110 has 32 divisors (see below), whose sum is σ = 18070158283200. Its totient is φ = 3993233489280.

The previous prime is 10011011121029. The next prime is 10011011121151. The reversal of 10011011121110 is 1112111011001.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10011011121091 and 10011011121100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4274096 + ... + 6187884.

It is an arithmetic number, because the mean of its divisors is an integer number (564692446350).

Almost surely, 2^{10011011121110} is an apocalyptic number.

10011011121110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10011011121110 is a deficient number, since it is larger than the sum of its proper divisors (8059147162090).

10011011121110 is a wasteful number, since it uses less digits than its factorization.

10011011121110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915256.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 10011011121110 its reverse (1112111011001), we get a palindrome (11123122132111).

The spelling of 10011011121110 in words is "ten trillion, eleven billion, eleven million, one hundred twenty-one thousand, one hundred ten".