2112100101011 has 2 divisors, whose sum is σ = 2112100101012. Its totient is φ = 2112100101010.

The previous prime is 2112100100993. The next prime is 2112100101017. The reversal of 2112100101011 is 1101010012112.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2112100101011 - 2⁶ = 2112100100947 is a prime.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 2112100100983 and 2112100101001.

It is not a weakly prime, because it can be changed into another prime (2112100101017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056050050505 + 1056050050506.

It is an arithmetic number, because the mean of its divisors is an integer number (1056050050506).

Almost surely, 2^{2112100101011} is an apocalyptic number.

2112100101011 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112100101011 is an equidigital number, since it uses as much as digits as its factorization.

2112100101011 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 11.

Adding to 2112100101011 its reverse (1101010012112), we get a palindrome (3213110113123).

The spelling of 2112100101011 in words is "two trillion, one hundred twelve billion, one hundred million, one hundred one thousand, eleven".