1001110111201 has 8 divisors (see below), whose sum is σ = 1002125896200. Its totient is φ = 1000094699520.

The previous prime is 1001110111171. The next prime is 1001110111247. The reversal of 1001110111201 is 1021110111001.

It can be written as a sum of positive squares in 4 ways, for example, as 221535896976 + 779574214225 = 470676^2 + 882935^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1001110111201 - 2¹⁹ = 1001109586913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001110111291) 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 7 ways as a sum of consecutive naturals, for example, 5437981 + ... + 5619061.

It is an arithmetic number, because the mean of its divisors is an integer number (125265737025).

Almost surely, 2^{1001110111201} is an apocalyptic number.

It is an amenable number.

1001110111201 is a deficient number, since it is larger than the sum of its proper divisors (1015784999).

1001110111201 is a wasteful number, since it uses less digits than its factorization.

1001110111201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186659.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 1001110111201 its reverse (1021110111001), we get a palindrome (2022220222202).

The spelling of 1001110111201 in words is "one trillion, one billion, one hundred ten million, one hundred eleven thousand, two hundred one".