1100201313121 has 2 divisors, whose sum is σ = 1100201313122. Its totient is φ = 1100201313120.

The previous prime is 1100201313059. The next prime is 1100201313181. The reversal of 1100201313121 is 1213131020011.

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., 1098647770896 + 1553542225 = 1048164^2 + 39415^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100201313121 - 2⁷ = 1100201312993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1100201313095 and 1100201313104.

It is not a weakly prime, because it can be changed into another prime (1100201313181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550100656560 + 550100656561.

It is an arithmetic number, because the mean of its divisors is an integer number (550100656561).

Almost surely, 2^{1100201313121} is an apocalyptic number.

It is an amenable number.

1100201313121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100201313121 is an equidigital number, since it uses as much as digits as its factorization.

1100201313121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1100201313121 its reverse (1213131020011), we get a palindrome (2313332333132).

The spelling of 1100201313121 in words is "one trillion, one hundred billion, two hundred one million, three hundred thirteen thousand, one hundred twenty-one".