110101000101001 has 32 divisors (see below), whose sum is σ = 136151158606848. Its totient is φ = 86700268952640.

The previous prime is 110101000100921. The next prime is 110101000101007. The reversal of 110101000101001 is 100101000101011.

It is a happy number.

It is not a de Polignac number, because 110101000101001 - 2²⁹ = 110100463230089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (110101000101007) 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, 61313146 + ... + 63083308.

It is an arithmetic number, because the mean of its divisors is an integer number (4254723706464).

Almost surely, 2^{110101000101001} is an apocalyptic number.

It is an amenable number.

110101000101001 is a deficient number, since it is larger than the sum of its proper divisors (26050158505847).

110101000101001 is a wasteful number, since it uses less digits than its factorization.

110101000101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773421.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 110101000101001 its reverse (100101000101011), we get a palindrome (210202000202012).

It can be divided in two parts, 11010100010 and 1001, that added together give a palindrome (11010101011).

The spelling of 110101000101001 in words is "one hundred ten trillion, one hundred one billion, one hundred one thousand, one".