110101100101001 has 8 divisors (see below), whose sum is σ = 111116350969800. Its totient is φ = 109085942851200.

The previous prime is 110101100100973. The next prime is 110101100101033. The reversal of 110101100101001 is 100101001101011.

It can be written as a sum of positive squares in 4 ways, for example, as 47389731360400 + 62711368740601 = 6884020^2 + 7919051^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 110101100101001 - 2¹⁴ = 110101100084617 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 110101100101001.

It is not an unprimeable number, because it can be changed into a prime (110101100101051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21040700 + ... + 25747101.

It is an arithmetic number, because the mean of its divisors is an integer number (13889543871225).

Almost surely, 2^{110101100101001} is an apocalyptic number.

It is an amenable number.

110101100101001 is a deficient number, since it is larger than the sum of its proper divisors (1015250868799).

110101100101001 is a wasteful number, since it uses less digits than its factorization.

110101100101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46809499.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 110101100101001 its reverse (100101001101011), we get a palindrome (210202101202012).

The spelling of 110101100101001 in words is "one hundred ten trillion, one hundred one billion, one hundred million, one hundred one thousand, one".