11331123221101 has 2 divisors, whose sum is σ = 11331123221102. Its totient is φ = 11331123221100.

The previous prime is 11331123221039. The next prime is 11331123221107. The reversal of 11331123221101 is 10112232113311.

11331123221101 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., 11028370168201 + 302753052900 = 3320899^2 + 550230^2 .

It is a cyclic number.

It is not a de Polignac number, because 11331123221101 - 2⁹ = 11331123220589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11331123221107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5665561610550 + 5665561610551.

It is an arithmetic number, because the mean of its divisors is an integer number (5665561610551).

Almost surely, 2^{11331123221101} is an apocalyptic number.

It is an amenable number.

11331123221101 is a deficient number, since it is larger than the sum of its proper divisors (1).

11331123221101 is an equidigital number, since it uses as much as digits as its factorization.

11331123221101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 11331123221101 its reverse (10112232113311), we get a palindrome (21443355334412).

The spelling of 11331123221101 in words is "eleven trillion, three hundred thirty-one billion, one hundred twenty-three million, two hundred twenty-one thousand, one hundred one".