110100111200001 has 36 divisors (see below), whose sum is σ = 172231367641788. Its totient is φ = 67744668131712.

The previous prime is 110100111199961. The next prime is 110100111200063. The reversal of 110100111200001 is 100002111001011.

It can be written as a sum of positive squares in 6 ways, for example, as 14610550640625 + 95489560559376 = 3822375^2 + 9771876^2 .

It is not a de Polignac number, because 110100111200001 - 2²² = 110100107005697 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (110100111200081) 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 35 ways as a sum of consecutive naturals, for example, 6217815 + ... + 16089171.

Almost surely, 2^{110100111200001} is an apocalyptic number.

It is an amenable number.

110100111200001 is a deficient number, since it is larger than the sum of its proper divisors (62131256441787).

110100111200001 is a wasteful number, since it uses less digits than its factorization.

110100111200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9878722 (or 9878706 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 110100111200001 its reverse (100002111001011), we get a palindrome (210102222201012).

The spelling of 110100111200001 in words is "one hundred ten trillion, one hundred billion, one hundred eleven million, two hundred thousand, one".