110121211021001 has 8 divisors (see below), whose sum is σ = 116599714431624. Its totient is φ = 103642794845440.

The previous prime is 110121211020859. The next prime is 110121211021039. The reversal of 110121211021001 is 100120112121011.

It can be written as a sum of positive squares in 4 ways, for example, as 95256916801225 + 14864294219776 = 9759965^2 + 3855424^2 .

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 110121211021001 - 2²⁶ = 110121143912137 is a prime.

It is a super-2 number, since 2×110121211021001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (110121211021091) 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, 19200890 + ... + 24267603.

It is an arithmetic number, because the mean of its divisors is an integer number (14574964303953).

Almost surely, 2^{110121211021001} is an apocalyptic number.

It is an amenable number.

110121211021001 is a deficient number, since it is larger than the sum of its proper divisors (6478503410623).

110121211021001 is a wasteful number, since it uses less digits than its factorization.

110121211021001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43617531.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 110121211021001 its reverse (100120112121011), we get a palindrome (210241323142012).

The spelling of 110121211021001 in words is "one hundred ten trillion, one hundred twenty-one billion, two hundred eleven million, twenty-one thousand, one".