1101101000137 has 2 divisors, whose sum is σ = 1101101000138. Its totient is φ = 1101101000136.

The previous prime is 1101101000117. The next prime is 1101101000159. The reversal of 1101101000137 is 7310001011011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 706963137721 + 394137862416 = 840811^2 + 627804^2 .

It is a cyclic number.

It is not a de Polignac number, because 1101101000137 - 2¹¹ = 1101100998089 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1101101000137.

It is not a weakly prime, because it can be changed into another prime (1101101000117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550550500068 + 550550500069.

It is an arithmetic number, because the mean of its divisors is an integer number (550550500069).

Almost surely, 2^{1101101000137} is an apocalyptic number.

It is an amenable number.

1101101000137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101101000137 is an equidigital number, since it uses as much as digits as its factorization.

1101101000137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21, while the sum is 16.

Adding to 1101101000137 its reverse (7310001011011), we get a palindrome (8411102011148).

The spelling of 1101101000137 in words is "one trillion, one hundred one billion, one hundred one million, one hundred thirty-seven", and thus it is an aban number.