1001121204137 has 2 divisors, whose sum is σ = 1001121204138. Its totient is φ = 1001121204136.

The previous prime is 1001121204107. The next prime is 1001121204151. The reversal of 1001121204137 is 7314021211001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 970823972416 + 30297231721 = 985304^2 + 174061^2 .

It is an emirp because it is prime and its reverse (7314021211001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1001121204137 - 2⁶ = 1001121204073 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001121204107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500560602068 + 500560602069.

It is an arithmetic number, because the mean of its divisors is an integer number (500560602069).

Almost surely, 2^{1001121204137} is an apocalyptic number.

It is an amenable number.

1001121204137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001121204137 is an equidigital number, since it uses as much as digits as its factorization.

1001121204137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 336, while the sum is 23.

Adding to 1001121204137 its reverse (7314021211001), we get a palindrome (8315142415138).

The spelling of 1001121204137 in words is "one trillion, one billion, one hundred twenty-one million, two hundred four thousand, one hundred thirty-seven".