101101200001001 has 2 divisors, whose sum is σ = 101101200001002. Its totient is φ = 101101200001000.

The previous prime is 101101200000989. The next prime is 101101200001037. The reversal of 101101200001001 is 100100002101101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79924958885776 + 21176241115225 = 8940076^2 + 4601765^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101101200001001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101101200001001.

It is not a weakly prime, because it can be changed into another prime (101101200001091) 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 as a sum of consecutive naturals, namely, 50550600000500 + 50550600000501.

It is an arithmetic number, because the mean of its divisors is an integer number (50550600000501).

Almost surely, 2^{101101200001001} is an apocalyptic number.

It is an amenable number.

101101200001001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101200001001 is an equidigital number, since it uses as much as digits as its factorization.

101101200001001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101101200001001 its reverse (100100002101101), we get a palindrome (201201202102102).

The spelling of 101101200001001 in words is "one hundred one trillion, one hundred one billion, two hundred million, one thousand, one".