2112111110101 has 2 divisors, whose sum is σ = 2112111110102. Its totient is φ = 2112111110100.

The previous prime is 2112111110093. The next prime is 2112111110171. The reversal of 2112111110101 is 1010111112112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1881763907076 + 230347203025 = 1371774^2 + 479945^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112111110101 - 2³ = 2112111110093 is a prime.

It is a super-2 number, since 2×2112111110101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2112111110171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056055555050 + 1056055555051.

It is an arithmetic number, because the mean of its divisors is an integer number (1056055555051).

Almost surely, 2^{2112111110101} is an apocalyptic number.

It is an amenable number.

2112111110101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112111110101 is an equidigital number, since it uses as much as digits as its factorization.

2112111110101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 2112111110101 its reverse (1010111112112), we get a palindrome (3122222222213).

The spelling of 2112111110101 in words is "two trillion, one hundred twelve billion, one hundred eleven million, one hundred ten thousand, one hundred one".