1006601120101 has 2 divisors, whose sum is σ = 1006601120102. Its totient is φ = 1006601120100.

The previous prime is 1006601120087. The next prime is 1006601120167. The reversal of 1006601120101 is 1010211066001.

1006601120101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1001252391876 + 5348728225 = 1000626^2 + 73135^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006601120101 - 2³¹ = 1004453636453 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1006601120201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503300560050 + 503300560051.

It is an arithmetic number, because the mean of its divisors is an integer number (503300560051).

Almost surely, 2^{1006601120101} is an apocalyptic number.

It is an amenable number.

1006601120101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006601120101 is an equidigital number, since it uses as much as digits as its factorization.

1006601120101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 1006601120101 its reverse (1010211066001), we get a palindrome (2016812186102).

The spelling of 1006601120101 in words is "one trillion, six billion, six hundred one million, one hundred twenty thousand, one hundred one".