1011111100110 has 384 divisors, whose sum is σ = 2944006041600. Its totient is φ = 239770782720.

The previous prime is 1011111100093. The next prime is 1011111100121. The reversal of 1011111100110 is 110011111101.

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 = 1011111100092 and 1011111100101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 211129596 + ... + 211134384.

It is an arithmetic number, because the mean of its divisors is an integer number (7666682400).

Almost surely, 2^{1011111100110} is an apocalyptic number.

1011111100110 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 1011111100110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472003020800).

1011111100110 is an abundant number, since it is smaller than the sum of its proper divisors (1932894941490).

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

1011111100110 is a wasteful number, since it uses less digits than its factorization.

1011111100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4976 (or 4973 counting only the distinct ones).

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

Adding to 1011111100110 its reverse (110011111101), we get a palindrome (1121122211211).

The spelling of 1011111100110 in words is "one trillion, eleven billion, one hundred eleven million, one hundred thousand, one hundred ten".