1011000100110 has 256 divisors, whose sum is σ = 3345877075968. Its totient is φ = 188676864000.

The previous prime is 1011000100037. The next prime is 1011000100141. The reversal of 1011000100110 is 110010001101.

It is a Harshad number since it is a multiple of its sum of digits (6).

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 127 ways as a sum of consecutive naturals, for example, 656160 + ... + 1566060.

It is an arithmetic number, because the mean of its divisors is an integer number (13069832328).

Almost surely, 2^{1011000100110} is an apocalyptic number.

1011000100110 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 1011000100110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672938537984).

1011000100110 is an abundant number, since it is smaller than the sum of its proper divisors (2334876975858).

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

1011000100110 is a wasteful number, since it uses less digits than its factorization.

1011000100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909979.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1011000100110 its reverse (110010001101), we get a palindrome (1121010101211).

Subtracting from 1011000100110 its reverse (110010001101), we obtain a palindrome (900990099009).

The spelling of 1011000100110 in words is "one trillion, eleven billion, one hundred thousand, one hundred ten".