1001110601105 has 16 divisors (see below), whose sum is σ = 1203078690000. Its totient is φ = 799725158400.

The previous prime is 1001110601083. The next prime is 1001110601111. The reversal of 1001110601105 is 5011060111001.

It can be written as a sum of positive squares in 8 ways, for example, as 48245683201 + 952864917904 = 219649^2 + 976148^2 .

It is not a de Polignac number, because 1001110601105 - 2⁶ = 1001110601041 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12729905 + ... + 12808305.

It is an arithmetic number, because the mean of its divisors is an integer number (75192418125).

Almost surely, 2^{1001110601105} is an apocalyptic number.

It is an amenable number.

1001110601105 is a deficient number, since it is larger than the sum of its proper divisors (201968088895).

1001110601105 is an equidigital number, since it uses as much as digits as its factorization.

1001110601105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82084.

The product of its (nonzero) digits is 30, while the sum is 17.

Adding to 1001110601105 its reverse (5011060111001), we get a palindrome (6012170712106).

The spelling of 1001110601105 in words is "one trillion, one billion, one hundred ten million, six hundred one thousand, one hundred five".