110001221000001 has 48 divisors (see below), whose sum is σ = 170821549237248. Its totient is φ = 68077919145600.

The previous prime is 110001220999963. The next prime is 110001221000003. The reversal of 110001221000001 is 100000122100011.

It is a happy number.

110001221000001 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 110001221000001 - 2²³ = 110001212611393 is a prime.

It is a super-2 number, since 2×110001221000001² (a number of 29 digits) contains 22 as substring.

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 (110001221000003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74308866 + ... + 75774731.

It is an arithmetic number, because the mean of its divisors is an integer number (3558782275776).

Almost surely, 2^{110001221000001} is an apocalyptic number.

It is an amenable number.

110001221000001 is a deficient number, since it is larger than the sum of its proper divisors (60820328237247).

110001221000001 is a wasteful number, since it uses less digits than its factorization.

110001221000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150083742 (or 150083739 counting only the distinct ones).

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

Adding to 110001221000001 its reverse (100000122100011), we get a palindrome (210001343100012).

The spelling of 110001221000001 in words is "one hundred ten trillion, one billion, two hundred twenty-one million, one", and thus it is an aban number.