110002122111001 has 8 divisors (see below), whose sum is σ = 117503568233064. Its totient is φ = 102615201884160.

The previous prime is 110002122110941. The next prime is 110002122111031. The reversal of 110002122111001 is 100111221200011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1690208006400 + 108311914104601 = 1300080^2 + 10407301^2 .

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 110002122111001 - 2¹⁹ = 110002121586713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110002122111031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28631471820 + ... + 28631475661.

It is an arithmetic number, because the mean of its divisors is an integer number (14687946029133).

Almost surely, 2^{110002122111001} is an apocalyptic number.

It is an amenable number.

110002122111001 is a deficient number, since it is larger than the sum of its proper divisors (7501446122063).

110002122111001 is a wasteful number, since it uses less digits than its factorization.

110002122111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57262947611.

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

Adding to 110002122111001 its reverse (100111221200011), we get a palindrome (210113343311012).

The spelling of 110002122111001 in words is "one hundred ten trillion, two billion, one hundred twenty-two million, one hundred eleven thousand, one".