110121110002101 has 32 divisors (see below), whose sum is σ = 164509367500800. Its totient is φ = 64934653942080.

The previous prime is 110121110002097. The next prime is 110121110002121. The reversal of 110121110002101 is 101200011121011.

It is not a de Polignac number, because 110121110002101 - 2² = 110121110002097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110121110002121) 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 31 ways as a sum of consecutive naturals, for example, 48510580 + ... + 50729858.

It is an arithmetic number, because the mean of its divisors is an integer number (5140917734400).

Almost surely, 2^{110121110002101} is an apocalyptic number.

110121110002101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110121110002101 is a deficient number, since it is larger than the sum of its proper divisors (54388257498699).

110121110002101 is a wasteful number, since it uses less digits than its factorization.

110121110002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2259969.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 110121110002101 its reverse (101200011121011), we get a palindrome (211321121123112).

The spelling of 110121110002101 in words is "one hundred ten trillion, one hundred twenty-one billion, one hundred ten million, two thousand, one hundred one".