110101010000001 has 64 divisors (see below), whose sum is σ = 157192129837056. Its totient is φ = 68420650752000.

The previous prime is 110101009999999. The next prime is 110101010000071. The reversal of 110101010000001 is 100000010101011.

It is not a de Polignac number, because 110101010000001 - 2¹ = 110101009999999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110101010000071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4362669555 + ... + 4362694791.

It is an arithmetic number, because the mean of its divisors is an integer number (2456127028704).

Almost surely, 2^{110101010000001} is an apocalyptic number.

It is an amenable number.

110101010000001 is a deficient number, since it is larger than the sum of its proper divisors (47091119837055).

110101010000001 is a wasteful number, since it uses less digits than its factorization.

110101010000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37962.

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

Adding to 110101010000001 its reverse (100000010101011), we get a palindrome (210101020101012).

The spelling of 110101010000001 in words is "one hundred ten trillion, one hundred one billion, ten million, one", and thus it is an aban number.