11121201112001 has 2 divisors, whose sum is σ = 11121201112002. Its totient is φ = 11121201112000.

The previous prime is 11121201111983. The next prime is 11121201112027. The reversal of 11121201112001 is 10021110212111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7468611231376 + 3652589880625 = 2732876^2 + 1911175^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11121201112001 is a prime.

It is a super-2 number, since 2×11121201112001² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (11121201112081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5560600556000 + 5560600556001.

It is an arithmetic number, because the mean of its divisors is an integer number (5560600556001).

Almost surely, 2^{11121201112001} is an apocalyptic number.

It is an amenable number.

11121201112001 is a deficient number, since it is larger than the sum of its proper divisors (1).

11121201112001 is an equidigital number, since it uses as much as digits as its factorization.

11121201112001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11121201112001 its reverse (10021110212111), we get a palindrome (21142311324112).

The spelling of 11121201112001 in words is "eleven trillion, one hundred twenty-one billion, two hundred one million, one hundred twelve thousand, one".