2112000011101 has 2 divisors, whose sum is σ = 2112000011102. Its totient is φ = 2112000011100.

The previous prime is 2112000011053. The next prime is 2112000011111. The reversal of 2112000011101 is 1011100002112.

It is an a-pointer prime, because the next prime (2112000011111) can be obtained adding 2112000011101 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1403206084900 + 708793926201 = 1184570^2 + 841899^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112000011101 - 2⁷ = 2112000010973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2112000011111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056000005550 + 1056000005551.

It is an arithmetic number, because the mean of its divisors is an integer number (1056000005551).

Almost surely, 2^{2112000011101} is an apocalyptic number.

It is an amenable number.

2112000011101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112000011101 is an equidigital number, since it uses as much as digits as its factorization.

2112000011101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2112000011101 its reverse (1011100002112), we get a palindrome (3123100013213).

The spelling of 2112000011101 in words is "two trillion, one hundred twelve billion, eleven thousand, one hundred one".