211221011112101 has 2 divisors, whose sum is σ = 211221011112102. Its totient is φ = 211221011112100.

The previous prime is 211221011112079. The next prime is 211221011112103. The reversal of 211221011112101 is 101211110122112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 155674905150625 + 55546105961476 = 12476975^2 + 7452926^2 .

It is a cyclic number.

It is not a de Polignac number, because 211221011112101 - 2³⁴ = 211203831242917 is a prime.

It is a super-2 number, since 2×211221011112101² (a number of 29 digits) contains 22 as substring.

Together with 211221011112103, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 211221011112101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211221011112103) 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, 105610505556050 + 105610505556051.

It is an arithmetic number, because the mean of its divisors is an integer number (105610505556051).

Almost surely, 2^{211221011112101} is an apocalyptic number.

It is an amenable number.

211221011112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

211221011112101 is an equidigital number, since it uses as much as digits as its factorization.

211221011112101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 211221011112101 its reverse (101211110122112), we get a palindrome (312432121234213).

It can be divided in two parts, 211221011 and 112101, that added together give a palindrome (211333112).

The spelling of 211221011112101 in words is "two hundred eleven trillion, two hundred twenty-one billion, eleven million, one hundred twelve thousand, one hundred one".