2112122121101 has 4 divisors (see below), whose sum is σ = 2126297437500. Its totient is φ = 2097946804704.

The previous prime is 2112122121077. The next prime is 2112122121233. The reversal of 2112122121101 is 1011212212112.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1383658164100 + 728463957001 = 1176290^2 + 853501^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112122121101 - 2³⁴ = 2094942251917 is a prime.

It is a super-2 number, since 2×2112122121101² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2112122121101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112122129101) 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 3 ways as a sum of consecutive naturals, for example, 7087657976 + ... + 7087658273.

It is an arithmetic number, because the mean of its divisors is an integer number (531574359375).

Almost surely, 2^{2112122121101} is an apocalyptic number.

It is an amenable number.

2112122121101 is a deficient number, since it is larger than the sum of its proper divisors (14175316399).

2112122121101 is a wasteful number, since it uses less digits than its factorization.

2112122121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14175316398.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 2112122121101 its reverse (1011212212112), we get a palindrome (3123334333213).

The spelling of 2112122121101 in words is "two trillion, one hundred twelve billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred one".