11212211112101 has 2 divisors, whose sum is σ = 11212211112102. Its totient is φ = 11212211112100.

The previous prime is 11212211112059. The next prime is 11212211112149. The reversal of 11212211112101 is 10121111221211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8067866479201 + 3144344632900 = 2840399^2 + 1773230^2 .

It is an emirp because it is prime and its reverse (10121111221211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11212211112101 - 2¹⁰ = 11212211111077 is a prime.

It is a super-2 number, since 2×11212211112101² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11212211112101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11212211112191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5606105556050 + 5606105556051.

It is an arithmetic number, because the mean of its divisors is an integer number (5606105556051).

Almost surely, 2^{11212211112101} is an apocalyptic number.

It is an amenable number.

11212211112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

11212211112101 is an equidigital number, since it uses as much as digits as its factorization.

11212211112101 is an evil number, because the sum of its binary digits is even.

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

Adding to 11212211112101 its reverse (10121111221211), we get a palindrome (21333322333312).

It can be divided in two parts, 1121221 and 1112101, that added together give a palindrome (2233322).

The spelling of 11212211112101 in words is "eleven trillion, two hundred twelve billion, two hundred eleven million, one hundred twelve thousand, one hundred one".