2112102021121 has 16 divisors (see below), whose sum is σ = 2150434750464. Its totient is φ = 2073975727824.

The previous prime is 2112102021109. The next prime is 2112102021179. The reversal of 2112102021121 is 1211202012112.

It is a cyclic number.

It is not a de Polignac number, because 2112102021121 - 2⁵ = 2112102021089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2112102021095 and 2112102021104.

It is not an unprimeable number, because it can be changed into a prime (2112102021181) 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 15 ways as a sum of consecutive naturals, for example, 47373586 + ... + 47418148.

It is an arithmetic number, because the mean of its divisors is an integer number (134402171904).

Almost surely, 2^{2112102021121} is an apocalyptic number.

It is an amenable number.

2112102021121 is a deficient number, since it is larger than the sum of its proper divisors (38332729343).

2112102021121 is a wasteful number, since it uses less digits than its factorization.

2112102021121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46860.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2112102021121 its reverse (1211202012112), we get a palindrome (3323304033233).

Subtracting from 2112102021121 its reverse (1211202012112), we obtain a palindrome (900900009009).

The spelling of 2112102021121 in words is "two trillion, one hundred twelve billion, one hundred two million, twenty-one thousand, one hundred twenty-one".