11112102120121 has 8 divisors (see below), whose sum is σ = 11120011726824. Its totient is φ = 11104193064960.

The previous prime is 11112102120107. The next prime is 11112102120157. The reversal of 11112102120121 is 12102120121111.

It can be written as a sum of positive squares in 4 ways, for example, as 1027666760121 + 10084435360000 = 1013739^2 + 3175600^2 .

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 11112102120121 - 2³⁹ = 10562346306233 is a prime.

It is a super-2 number, since 2×11112102120121² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11112102120095 and 11112102120104.

It is not an unprimeable number, because it can be changed into a prime (11112102123121) 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, 45518241 + ... + 45761713.

It is an arithmetic number, because the mean of its divisors is an integer number (1390001465853).

Almost surely, 2^{11112102120121} is an apocalyptic number.

It is an amenable number.

11112102120121 is a deficient number, since it is larger than the sum of its proper divisors (7909606703).

11112102120121 is a wasteful number, since it uses less digits than its factorization.

11112102120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275771.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 11112102120121 its reverse (12102120121111), we get a palindrome (23214222241232).

It can be divided in two parts, 111 and 12102120121, that multiplied together give a palindrome (1343335333431).

The spelling of 11112102120121 in words is "eleven trillion, one hundred twelve billion, one hundred two million, one hundred twenty thousand, one hundred twenty-one".