110100122001 has 24 divisors (see below), whose sum is σ = 165769532864. Its totient is φ = 70350366240.

The previous prime is 110100121981. The next prime is 110100122053. The reversal of 110100122001 is 100221001011.

It is a happy number.

It is not a de Polignac number, because 110100122001 - 2²³ = 110091733393 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110100122201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2445085 + ... + 2489706.

Almost surely, 2^110100122001 is an apocalyptic number.

It is an amenable number.

110100122001 is a deficient number, since it is larger than the sum of its proper divisors (55669410863).

110100122001 is a wasteful number, since it uses less digits than its factorization.

110100122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4934901 (or 4934898 counting only the distinct ones).

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

Adding to 110100122001 its reverse (100221001011), we get a palindrome (210321123012).

The spelling of 110100122001 in words is "one hundred ten billion, one hundred million, one hundred twenty-two thousand, one".