1001000110110 has 512 divisors, whose sum is σ = 3333705596928. Its totient is φ = 185631160320.

The previous prime is 1001000110087. The next prime is 1001000110129. The reversal of 1001000110110 is 110110001001.

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

1001000110110 is a modest number, since divided by 110110 gives 10010 as remainder.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 181108167 + ... + 181113693.

It is an arithmetic number, because the mean of its divisors is an integer number (6511143744).

Almost surely, 2^{1001000110110} is an apocalyptic number.

1001000110110 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 1001000110110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666852798464).

1001000110110 is an abundant number, since it is smaller than the sum of its proper divisors (2332705486818).

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

1001000110110 is a wasteful number, since it uses less digits than its factorization.

1001000110110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5768.

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

Adding to 1001000110110 its reverse (110110001001), we get a palindrome (1111110111111).

The spelling of 1001000110110 in words is "one trillion, one billion, one hundred ten thousand, one hundred ten".