110120021011001 has 8 divisors (see below), whose sum is σ = 110128260756744. Its totient is φ = 110111781619840.

The previous prime is 110120021010949. The next prime is 110120021011027. The reversal of 110120021011001 is 100110120021011.

It can be written as a sum of positive squares in 4 ways, for example, as 45761504325625 + 64358516685376 = 6764725^2 + 8022376^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110120021011001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110120021011031) 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, 974482835 + ... + 974595831.

It is an arithmetic number, because the mean of its divisors is an integer number (13766032594593).

Almost surely, 2^{110120021011001} is an apocalyptic number.

It is an amenable number.

110120021011001 is a deficient number, since it is larger than the sum of its proper divisors (8239745743).

110120021011001 is a wasteful number, since it uses less digits than its factorization.

110120021011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177291.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 110120021011001 its reverse (100110120021011), we get a palindrome (210230141032012).

The spelling of 110120021011001 in words is "one hundred ten trillion, one hundred twenty billion, twenty-one million, eleven thousand, one".