201001310001101 has 16 divisors (see below), whose sum is σ = 218228131510128. Its totient is φ = 184429735526400.

The previous prime is 201001310001091. The next prime is 201001310001139. The reversal of 201001310001101 is 101100013100102.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 67424232423076 + 133577077578025 = 8211226^2 + 11557555^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-201001310001101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201001310001161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 857535980 + ... + 857770341.

It is an arithmetic number, because the mean of its divisors is an integer number (13639258219383).

Almost surely, 2^{201001310001101} is an apocalyptic number.

It is an amenable number.

201001310001101 is a deficient number, since it is larger than the sum of its proper divisors (17226821509027).

201001310001101 is a wasteful number, since it uses less digits than its factorization.

201001310001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715306512.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 201001310001101 its reverse (101100013100102), we get a palindrome (302101323101203).

The spelling of 201001310001101 in words is "two hundred one trillion, one billion, three hundred ten million, one thousand, one hundred one".