110120221011001 has 8 divisors (see below), whose sum is σ = 110128516821000. Its totient is φ = 110111925555840.

The previous prime is 110120221010963. The next prime is 110120221011023. The reversal of 110120221011001 is 100110122021011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8125350250000 + 101994870761001 = 2850500^2 + 10099251^2 .

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 110120221011001 - 2¹⁵ = 110120220978233 is a prime.

It is a super-2 number, since 2×110120221011001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110120221011061) 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, 980874211 + ... + 980986471.

It is an arithmetic number, because the mean of its divisors is an integer number (13766064602625).

Almost surely, 2^{110120221011001} is an apocalyptic number.

It is an amenable number.

110120221011001 is a deficient number, since it is larger than the sum of its proper divisors (8295809999).

110120221011001 is a wasteful number, since it uses less digits than its factorization.

110120221011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177419.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 110120221011001 its reverse (100110122021011), we get a palindrome (210230343032012).

The spelling of 110120221011001 in words is "one hundred ten trillion, one hundred twenty billion, two hundred twenty-one million, eleven thousand, one".