10001110121121 has 32 divisors (see below), whose sum is σ = 15253504098048. Its totient is φ = 5709778099200.

The previous prime is 10001110121083. The next prime is 10001110121203. The reversal of 10001110121121 is 12112101110001.

It is not a de Polignac number, because 10001110121121 - 2¹⁸ = 10001109858977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10001110121097 and 10001110121106.

It is not an unprimeable number, because it can be changed into a prime (10001110121521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128508421 + ... + 128586221.

It is an arithmetic number, because the mean of its divisors is an integer number (476672003064).

Almost surely, 2^{10001110121121} is an apocalyptic number.

It is an amenable number.

10001110121121 is a deficient number, since it is larger than the sum of its proper divisors (5252393976927).

10001110121121 is a wasteful number, since it uses less digits than its factorization.

10001110121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83241.

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

Adding to 10001110121121 its reverse (12112101110001), we get a palindrome (22113211231122).

The spelling of 10001110121121 in words is "ten trillion, one billion, one hundred ten million, one hundred twenty-one thousand, one hundred twenty-one".