11220121100113 has 2 divisors, whose sum is σ = 11220121100114. Its totient is φ = 11220121100112.

The previous prime is 11220121100011. The next prime is 11220121100191. The reversal of 11220121100113 is 31100112102211.

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., 6039635559489 + 5180485540624 = 2457567^2 + 2276068^2 .

It is a cyclic number.

It is not a de Polignac number, because 11220121100113 - 2¹⁷ = 11220120969041 is a prime.

It is a super-2 number, since 2×11220121100113² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (11220121104113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5610060550056 + 5610060550057.

It is an arithmetic number, because the mean of its divisors is an integer number (5610060550057).

Almost surely, 2^{11220121100113} is an apocalyptic number.

It is an amenable number.

11220121100113 is a deficient number, since it is larger than the sum of its proper divisors (1).

11220121100113 is an equidigital number, since it uses as much as digits as its factorization.

11220121100113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 11220121100113 its reverse (31100112102211), we get a palindrome (42320233202324).

The spelling of 11220121100113 in words is "eleven trillion, two hundred twenty billion, one hundred twenty-one million, one hundred thousand, one hundred thirteen".