211112012220101 has 2 divisors, whose sum is σ = 211112012220102. Its totient is φ = 211112012220100.

The previous prime is 211112012220079. The next prime is 211112012220127. The reversal of 211112012220101 is 101022210211112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 202514274024001 + 8597738196100 = 14230751^2 + 2932190^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-211112012220101 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 211112012220101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211112012220001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105556006110050 + 105556006110051.

It is an arithmetic number, because the mean of its divisors is an integer number (105556006110051).

Almost surely, 2^{211112012220101} is an apocalyptic number.

It is an amenable number.

211112012220101 is a deficient number, since it is larger than the sum of its proper divisors (1).

211112012220101 is an equidigital number, since it uses as much as digits as its factorization.

211112012220101 is an odious number, because the sum of its binary digits is odd.

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

Adding to 211112012220101 its reverse (101022210211112), we get a palindrome (312134222431213).

The spelling of 211112012220101 in words is "two hundred eleven trillion, one hundred twelve billion, twelve million, two hundred twenty thousand, one hundred one".