110101111100001 has 96 divisors (see below), whose sum is σ = 188299545557760. Its totient is φ = 60690040819200.

The previous prime is 110101111099951. The next prime is 110101111100017. The reversal of 110101111100001 is 100001111101011.

It is not a de Polignac number, because 110101111100001 - 2¹⁰ = 110101111098977 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (110101111100081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 482808915 + ... + 483036903.

It is an arithmetic number, because the mean of its divisors is an integer number (1961453599560).

Almost surely, 2^{110101111100001} is an apocalyptic number.

It is an amenable number.

110101111100001 is a deficient number, since it is larger than the sum of its proper divisors (78198434457759).

110101111100001 is a wasteful number, since it uses less digits than its factorization.

110101111100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230487 (or 230484 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 110101111100001 its reverse (100001111101011), we get a palindrome (210102222201012).

The spelling of 110101111100001 in words is "one hundred ten trillion, one hundred one billion, one hundred eleven million, one hundred thousand, one".