110001102001 has 6 divisors (see below), whose sum is σ = 127960465650. Its totient is φ = 94286658816.

The previous prime is 110001101999. The next prime is 110001102011. The reversal of 110001102001 is 100201100011.

It can be written as a sum of positive squares in only one way, i.e., 109427978401 + 573123600 = 330799^2 + 23940^2 .

It is not a de Polignac number, because 110001102001 - 2¹ = 110001101999 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110001102011) 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 5 ways as a sum of consecutive naturals, for example, 1122460176 + ... + 1122460273.

It is an arithmetic number, because the mean of its divisors is an integer number (21326744275).

Almost surely, 2^110001102001 is an apocalyptic number.

It is an amenable number.

110001102001 is a deficient number, since it is larger than the sum of its proper divisors (17959363649).

110001102001 is an equidigital number, since it uses as much as digits as its factorization.

110001102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244920463 (or 2244920456 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 110001102001 its reverse (100201100011), we get a palindrome (210202202012).

The spelling of 110001102001 in words is "one hundred ten billion, one million, one hundred two thousand, one".