11222211102101 has 2 divisors, whose sum is σ = 11222211102102. Its totient is φ = 11222211102100.

The previous prime is 11222211102079. The next prime is 11222211102103. The reversal of 11222211102101 is 10120111222211.

11222211102101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8339937531025 + 2882273571076 = 2887895^2 + 1697726^2 .

It is an emirp because it is prime and its reverse (10120111222211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11222211102101 - 2²⁶ = 11222143993237 is a prime.

It is a super-2 number, since 2×11222211102101² (a number of 27 digits) contains 22 as substring.

Together with 11222211102103, 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 11222211102101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11222211102103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5611105551050 + 5611105551051.

It is an arithmetic number, because the mean of its divisors is an integer number (5611105551051).

Almost surely, 2^{11222211102101} is an apocalyptic number.

It is an amenable number.

11222211102101 is a deficient number, since it is larger than the sum of its proper divisors (1).

11222211102101 is an equidigital number, since it uses as much as digits as its factorization.

11222211102101 is an evil number, because the sum of its binary digits is even.

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

Adding to 11222211102101 its reverse (10120111222211), we get a palindrome (21342322324312).

The spelling of 11222211102101 in words is "eleven trillion, two hundred twenty-two billion, two hundred eleven million, one hundred two thousand, one hundred one".