1001010501105 has 16 divisors (see below), whose sum is σ = 1601683217280. Its totient is φ = 533850128768.

The previous prime is 1001010501091. The next prime is 1001010501107. The reversal of 1001010501105 is 5011050101001.

It is a cyclic number.

It is not a de Polignac number, because 1001010501105 - 2¹¹ = 1001010499057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1001010501107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1006557 + ... + 1736426.

It is an arithmetic number, because the mean of its divisors is an integer number (100105201080).

Almost surely, 2^{1001010501105} is an apocalyptic number.

1001010501105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1001010501105 is a deficient number, since it is larger than the sum of its proper divisors (600672716175).

1001010501105 is a wasteful number, since it uses less digits than its factorization.

1001010501105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2767320.

The product of its (nonzero) digits is 25, while the sum is 15.

Adding to 1001010501105 its reverse (5011050101001), we get a palindrome (6012060602106).

The spelling of 1001010501105 in words is "one trillion, one billion, ten million, five hundred one thousand, one hundred five".