11121011220401 has 2 divisors, whose sum is σ = 11121011220402. Its totient is φ = 11121011220400.

The previous prime is 11121011220383. The next prime is 11121011220409. The reversal of 11121011220401 is 10402211012111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7727015622001 + 3393995598400 = 2779751^2 + 1842280^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11121011220401 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11121011220401.

It is not a weakly prime, because it can be changed into another prime (11121011220409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5560505610200 + 5560505610201.

It is an arithmetic number, because the mean of its divisors is an integer number (5560505610201).

Almost surely, 2^{11121011220401} is an apocalyptic number.

It is an amenable number.

11121011220401 is a deficient number, since it is larger than the sum of its proper divisors (1).

11121011220401 is an equidigital number, since it uses as much as digits as its factorization.

11121011220401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 11121011220401 its reverse (10402211012111), we get a palindrome (21523222232512).

The spelling of 11121011220401 in words is "eleven trillion, one hundred twenty-one billion, eleven million, two hundred twenty thousand, four hundred one".