2112211011101 has 2 divisors, whose sum is σ = 2112211011102. Its totient is φ = 2112211011100.

The previous prime is 2112211011091. The next prime is 2112211011103. The reversal of 2112211011101 is 1011101122112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1936021788100 + 176189223001 = 1391410^2 + 419749^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2112211011101 is a prime.

It is a super-2 number, since 2×2112211011101² (a number of 25 digits) contains 22 as substring.

Together with 2112211011103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2112211011103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056105505550 + 1056105505551.

It is an arithmetic number, because the mean of its divisors is an integer number (1056105505551).

Almost surely, 2^{2112211011101} is an apocalyptic number.

It is an amenable number.

2112211011101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112211011101 is an equidigital number, since it uses as much as digits as its factorization.

2112211011101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 2112211011101 its reverse (1011101122112), we get a palindrome (3123312133213).

The spelling of 2112211011101 in words is "two trillion, one hundred twelve billion, two hundred eleven million, eleven thousand, one hundred one".