1006100601001 has 2 divisors, whose sum is σ = 1006100601002. Its totient is φ = 1006100601000.

The previous prime is 1006100600983. The next prime is 1006100601029. The reversal of 1006100601001 is 1001060016001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 990462848400 + 15637752601 = 995220^2 + 125051^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006100601001 - 2⁵ = 1006100600969 is a prime.

It is not a weakly prime, because it can be changed into another prime (1006100601041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503050300500 + 503050300501.

It is an arithmetic number, because the mean of its divisors is an integer number (503050300501).

Almost surely, 2^{1006100601001} is an apocalyptic number.

It is an amenable number.

1006100601001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006100601001 is an equidigital number, since it uses as much as digits as its factorization.

1006100601001 is an evil number, because the sum of its binary digits is even.

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

Adding to 1006100601001 its reverse (1001060016001), we get a palindrome (2007160617002).

The spelling of 1006100601001 in words is "one trillion, six billion, one hundred million, six hundred one thousand, one".