11220101133121 has 2 divisors, whose sum is σ = 11220101133122. Its totient is φ = 11220101133120.

The previous prime is 11220101133107. The next prime is 11220101133149. The reversal of 11220101133121 is 12133110102211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9043402200625 + 2176698932496 = 3007225^2 + 1475364^2 .

It is a cyclic number.

It is not a de Polignac number, because 11220101133121 - 2²³ = 11220092744513 is a prime.

It is not a weakly prime, because it can be changed into another prime (11220101133721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5610050566560 + 5610050566561.

It is an arithmetic number, because the mean of its divisors is an integer number (5610050566561).

Almost surely, 2^{11220101133121} is an apocalyptic number.

It is an amenable number.

11220101133121 is a deficient number, since it is larger than the sum of its proper divisors (1).

11220101133121 is an equidigital number, since it uses as much as digits as its factorization.

11220101133121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 11220101133121 its reverse (12133110102211), we get a palindrome (23353211235332).

The spelling of 11220101133121 in words is "eleven trillion, two hundred twenty billion, one hundred one million, one hundred thirty-three thousand, one hundred twenty-one".