1101121121201 has 2 divisors, whose sum is σ = 1101121121202. Its totient is φ = 1101121121200.

The previous prime is 1101121121197. The next prime is 1101121121227. The reversal of 1101121121201 is 1021211211011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 858541230625 + 242579890576 = 926575^2 + 492524^2 .

It is an emirp because it is prime and its reverse (1021211211011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1101121121201 - 2² = 1101121121197 is a prime.

It is not a weakly prime, because it can be changed into another prime (1101121121231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550560560600 + 550560560601.

It is an arithmetic number, because the mean of its divisors is an integer number (550560560601).

Almost surely, 2^{1101121121201} is an apocalyptic number.

It is an amenable number.

1101121121201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101121121201 is an equidigital number, since it uses as much as digits as its factorization.

1101121121201 is an odious number, because the sum of its binary digits is odd.

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

Adding to 1101121121201 its reverse (1021211211011), we get a palindrome (2122332332212).

The spelling of 1101121121201 in words is "one trillion, one hundred one billion, one hundred twenty-one million, one hundred twenty-one thousand, two hundred one".