10110121101121 has 8 divisors (see below), whose sum is σ = 10114934193000. Its totient is φ = 10105308347520.

The previous prime is 10110121101097. The next prime is 10110121101173. The reversal of 10110121101121 is 12110112101101.

It can be written as a sum of positive squares in 4 ways, for example, as 8358667370496 + 1751453730625 = 2891136^2 + 1323425^2 .

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 10110121101121 - 2³⁹ = 9560365287233 is a prime.

It is a super-3 number, since 3×10110121101121³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10110121101221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75546015 + ... + 75679723.

It is an arithmetic number, because the mean of its divisors is an integer number (1264366774125).

Almost surely, 2^{10110121101121} is an apocalyptic number.

It is an amenable number.

10110121101121 is a deficient number, since it is larger than the sum of its proper divisors (4813091879).

10110121101121 is a wasteful number, since it uses less digits than its factorization.

10110121101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169139.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 10110121101121 its reverse (12110112101101), we get a palindrome (22220233202222).

The spelling of 10110121101121 in words is "ten trillion, one hundred ten billion, one hundred twenty-one million, one hundred one thousand, one hundred twenty-one".