110001010100001 has 48 divisors (see below), whose sum is σ = 153281934828288. Its totient is φ = 70149479500800.

The previous prime is 110001010099919. The next prime is 110001010100027. The reversal of 110001010100001 is 100001010100011.

It is not a de Polignac number, because 110001010100001 - 2¹³ = 110001010091809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110001010100041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 541287256 + ... + 541490438.

It is an arithmetic number, because the mean of its divisors is an integer number (3193373642256).

Almost surely, 2^{110001010100001} is an apocalyptic number.

It is an amenable number.

110001010100001 is a deficient number, since it is larger than the sum of its proper divisors (43280924728287).

110001010100001 is a wasteful number, since it uses less digits than its factorization.

110001010100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205482 (or 205445 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 110001010100001 its reverse (100001010100011), we get a palindrome (210002020200012).

It can be divided in two parts, 110001010 and 100001, that added together give a palindrome (110101011).

The spelling of 110001010100001 in words is "one hundred ten trillion, one billion, ten million, one hundred thousand, one".