110120101001 has 8 divisors (see below), whose sum is σ = 110262529800. Its totient is φ = 109977725440.

The previous prime is 110120100997. The next prime is 110120101057. The reversal of 110120101001 is 100101021011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 13759524601 + 96360576400 = 117301^2 + 310420^2 .

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 110120101001 - 2² = 110120100997 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 110120101001.

It is not an unprimeable number, because it can be changed into a prime (110120101601) 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, 5591111 + ... + 5610771.

It is an arithmetic number, because the mean of its divisors is an integer number (13782816225).

Almost surely, 2^110120101001 is an apocalyptic number.

It is an amenable number.

110120101001 is a deficient number, since it is larger than the sum of its proper divisors (142428799).

110120101001 is an equidigital number, since it uses as much as digits as its factorization.

110120101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26619.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 110120101001 its reverse (100101021011), we get a palindrome (210221122012).

The spelling of 110120101001 in words is "one hundred ten billion, one hundred twenty million, one hundred one thousand, one".