1100300411201 has 16 divisors (see below), whose sum is σ = 1125320818896. Its totient is φ = 1075441975296.

The previous prime is 1100300411159. The next prime is 1100300411233. The reversal of 1100300411201 is 1021140030011.

It can be written as a sum of positive squares in 8 ways, for example, as 1579267600 + 1098721143601 = 39740^2 + 1048199^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100300411201 - 2⁶ = 1100300411137 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1100300411281) 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, 28729601 + ... + 28767873.

It is an arithmetic number, because the mean of its divisors is an integer number (70332551181).

Almost surely, 2^{1100300411201} is an apocalyptic number.

It is an amenable number.

1100300411201 is a deficient number, since it is larger than the sum of its proper divisors (25020407695).

1100300411201 is a wasteful number, since it uses less digits than its factorization.

1100300411201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40372.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 1100300411201 its reverse (1021140030011), we get a palindrome (2121440441212).

The spelling of 1100300411201 in words is "one trillion, one hundred billion, three hundred million, four hundred eleven thousand, two hundred one".