2110121000111 has 8 divisors (see below), whose sum is σ = 2116218046320. Its totient is φ = 2104024628992.

The previous prime is 2110121000083. The next prime is 2110121000147. The reversal of 2110121000111 is 1110001210112.

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 2110121000111 - 2³⁴ = 2092941130927 is a prime.

It is a super-2 number, since 2×2110121000111² (a number of 25 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 = 2110121000092 and 2110121000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110121060111) 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, 6467660 + ... + 6786078.

It is an arithmetic number, because the mean of its divisors is an integer number (264527255790).

Almost surely, 2^{2110121000111} is an apocalyptic number.

2110121000111 is a deficient number, since it is larger than the sum of its proper divisors (6097046209).

2110121000111 is a wasteful number, since it uses less digits than its factorization.

2110121000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337545.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 2110121000111 its reverse (1110001210112), we get a palindrome (3220122210223).

The spelling of 2110121000111 in words is "two trillion, one hundred ten billion, one hundred twenty-one million, one hundred eleven", and thus it is an aban number.