110000101001 has 32 divisors (see below), whose sum is σ = 131929966080. Its totient is φ = 89672546304.

The previous prime is 110000100983. The next prime is 110000101037. The reversal of 110000101001 is 100101000011.

It is a cyclic number.

It is not a de Polignac number, because 110000101001 - 2¹⁰ = 110000099977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110000101901) 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, 21196115 + ... + 21201303.

It is an arithmetic number, because the mean of its divisors is an integer number (4122811440).

Almost surely, 2^110000101001 is an apocalyptic number.

It is an amenable number.

110000101001 is a deficient number, since it is larger than the sum of its proper divisors (21929865079).

110000101001 is a wasteful number, since it uses less digits than its factorization.

110000101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5945.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 110000101001 its reverse (100101000011), we get a palindrome (210101101012).

The spelling of 110000101001 in words is "one hundred ten billion, one hundred one thousand, one".