11101112022101 has 2 divisors, whose sum is σ = 11101112022102. Its totient is φ = 11101112022100.

The previous prime is 11101112022071. The next prime is 11101112022103. The reversal of 11101112022101 is 10122021110111.

11101112022101 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., 11087574699601 + 13537322500 = 3329801^2 + 116350^2 .

It is a cyclic number.

It is not a de Polignac number, because 11101112022101 - 2⁶ = 11101112022037 is a prime.

It is a super-2 number, since 2×11101112022101² (a number of 27 digits) contains 22 as substring.

Together with 11101112022103, 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 (11101112022103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5550556011050 + 5550556011051.

It is an arithmetic number, because the mean of its divisors is an integer number (5550556011051).

Almost surely, 2^{11101112022101} is an apocalyptic number.

It is an amenable number.

11101112022101 is a deficient number, since it is larger than the sum of its proper divisors (1).

11101112022101 is an equidigital number, since it uses as much as digits as its factorization.

11101112022101 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 11101112022101 its reverse (10122021110111), we get a palindrome (21223133132212).

The spelling of 11101112022101 in words is "eleven trillion, one hundred one billion, one hundred twelve million, twenty-two thousand, one hundred one".