11111011002101 has 2 divisors, whose sum is σ = 11111011002102. Its totient is φ = 11111011002100.

The previous prime is 11111011002083. The next prime is 11111011002103. The reversal of 11111011002101 is 10120011011111.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10859338213201 + 251672788900 = 3295351^2 + 501670^2 .

It is a cyclic number.

It is not a de Polignac number, because 11111011002101 - 2³⁸ = 10836133095157 is a prime.

Together with 11111011002103, 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 (11111011002103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5555505501050 + 5555505501051.

It is an arithmetic number, because the mean of its divisors is an integer number (5555505501051).

Almost surely, 2^{11111011002101} is an apocalyptic number.

It is an amenable number.

11111011002101 is a deficient number, since it is larger than the sum of its proper divisors (1).

11111011002101 is an equidigital number, since it uses as much as digits as its factorization.

11111011002101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 11111011002101 its reverse (10120011011111), we get a palindrome (21231022013212).

The spelling of 11111011002101 in words is "eleven trillion, one hundred eleven billion, eleven million, two thousand, one hundred one".