1201011001121 has 2 divisors, whose sum is σ = 1201011001122. Its totient is φ = 1201011001120.

The previous prime is 1201011001093. The next prime is 1201011001163. The reversal of 1201011001121 is 1211001101021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1081941146896 + 119069854225 = 1040164^2 + 345065^2 .

It is a cyclic number.

It is not a de Polignac number, because 1201011001121 - 2²⁶ = 1200943892257 is a prime.

It is not a weakly prime, because it can be changed into another prime (1201011001321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 600505500560 + 600505500561.

It is an arithmetic number, because the mean of its divisors is an integer number (600505500561).

Almost surely, 2^{1201011001121} is an apocalyptic number.

It is an amenable number.

1201011001121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1201011001121 is an equidigital number, since it uses as much as digits as its factorization.

1201011001121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1201011001121 its reverse (1211001101021), we get a palindrome (2412012102142).

The spelling of 1201011001121 in words is "one trillion, two hundred one billion, eleven million, one thousand, one hundred twenty-one".