110101011101001 has 32 divisors (see below), whose sum is σ = 163143800413440. Its totient is φ = 73386639705600.

The previous prime is 110101011100877. The next prime is 110101011101021. The reversal of 110101011101001 is 100101110101011.

It is a de Polignac number, because none of the positive numbers 2^k-110101011101001 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 (110101011101021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5457830151 + ... + 5457850323.

It is an arithmetic number, because the mean of its divisors is an integer number (5098243762920).

Almost surely, 2^{110101011101001} is an apocalyptic number.

It is an amenable number.

110101011101001 is a deficient number, since it is larger than the sum of its proper divisors (53042789312439).

110101011101001 is a wasteful number, since it uses less digits than its factorization.

110101011101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48814 (or 48808 counting only the distinct ones).

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

Adding to 110101011101001 its reverse (100101110101011), we get a palindrome (210202121202012).

The spelling of 110101011101001 in words is "one hundred ten trillion, one hundred one billion, eleven million, one hundred one thousand, one".