110020102100001 has 24 divisors (see below), whose sum is σ = 163297440349160. Its totient is φ = 71327471152896.

The previous prime is 110020102099969. The next prime is 110020102100057. The reversal of 110020102100001 is 100001201020011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 15053810245776 + 94966291854225 = 3879924^2 + 9745065^2 .

It is not a de Polignac number, because 110020102100001 - 2⁵ = 110020102099969 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110020102100071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84816916 + ... + 86104293.

Almost surely, 2^{110020102100001} is an apocalyptic number.

It is an amenable number.

110020102100001 is a deficient number, since it is larger than the sum of its proper divisors (53277338249159).

110020102100001 is a wasteful number, since it uses less digits than its factorization.

110020102100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170923185 (or 170923182 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 110020102100001 its reverse (100001201020011), we get a palindrome (210021303120012).

The spelling of 110020102100001 in words is "one hundred ten trillion, twenty billion, one hundred two million, one hundred thousand, one".