10111001101110 has 768 divisors, whose sum is σ = 35184252579840. Its totient is φ = 1954849075200.

The previous prime is 10111001101087. The next prime is 10111001101111. The reversal of 10111001101110 is 1110110011101.

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 = 10111001101092 and 10111001101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111001101111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 996054535 + ... + 996064685.

It is an arithmetic number, because the mean of its divisors is an integer number (45812828880).

Almost surely, 2^{10111001101110} is an apocalyptic number.

10111001101110 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 10111001101110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17592126289920).

10111001101110 is an abundant number, since it is smaller than the sum of its proper divisors (25073251478730).

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

10111001101110 is a wasteful number, since it uses less digits than its factorization.

10111001101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10413 (or 10410 counting only the distinct ones).

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

Adding to 10111001101110 its reverse (1110110011101), we get a palindrome (11221111112211).

The spelling of 10111001101110 in words is "ten trillion, one hundred eleven billion, one million, one hundred one thousand, one hundred ten".