110122100000001 has 24 divisors (see below), whose sum is σ = 163364888905920. Its totient is φ = 71430301076256.

The previous prime is 110122099999963. The next prime is 110122100000021. The reversal of 110122100000001 is 100000001221011.

It is a happy number.

It is not a de Polignac number, because 110122100000001 - 2²¹ = 110122097902849 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (110122100000021) 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 23 ways as a sum of consecutive naturals, for example, 169193170 + ... + 169842788.

It is an arithmetic number, because the mean of its divisors is an integer number (6806870371080).

Almost surely, 2^{110122100000001} is an apocalyptic number.

It is an amenable number.

110122100000001 is a deficient number, since it is larger than the sum of its proper divisors (53242788905919).

110122100000001 is a wasteful number, since it uses less digits than its factorization.

110122100000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158725 (or 1158722 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 110122100000001 its reverse (100000001221011), we get a palindrome (210122101221012).

The spelling of 110122100000001 in words is "one hundred ten trillion, one hundred twenty-two billion, one hundred million, one", and thus it is an aban number.