1000110110001 has 16 divisors (see below), whose sum is σ = 1377086587968. Its totient is φ = 645135969600.

The previous prime is 1000110109991. The next prime is 1000110110023.

1000110110001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1000110110001 - 2⁵ = 1000110109969 is a prime.

1000110110001 is a strobogrammatic number because it is the same when read upside-down.

It is not an unprimeable number, because it can be changed into a prime (1000110110801) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24869415 + ... + 24909596.

It is an arithmetic number, because the mean of its divisors is an integer number (86067911748).

Almost surely, 2^{1000110110001} is an apocalyptic number.

It is an amenable number.

1000110110001 is a deficient number, since it is larger than the sum of its proper divisors (376976477967).

1000110110001 is a wasteful number, since it uses less digits than its factorization.

1000110110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49779232.

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

It can be divided in two parts, 1000110 and 110001, that added together give a palindrome (1110111).

The spelling of 1000110110001 in words is "one trillion, one hundred ten million, one hundred ten thousand, one".