2001100101073 has 2 divisors, whose sum is σ = 2001100101074. Its totient is φ = 2001100101072.

The previous prime is 2001100101061. The next prime is 2001100101089. The reversal of 2001100101073 is 3701010011002.

It is an a-pointer prime, because the next prime (2001100101089) can be obtained adding 2001100101073 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1589132529664 + 411967571409 = 1260608^2 + 641847^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001100101073 - 2¹³ = 2001100092881 is a prime.

It is a super-2 number, since 2×2001100101073² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2001100131073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000550050536 + 1000550050537.

It is an arithmetic number, because the mean of its divisors is an integer number (1000550050537).

Almost surely, 2^{2001100101073} is an apocalyptic number.

It is an amenable number.

2001100101073 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001100101073 is an equidigital number, since it uses as much as digits as its factorization.

2001100101073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 16.

Adding to 2001100101073 its reverse (3701010011002), we get a palindrome (5702110112075).

The spelling of 2001100101073 in words is "two trillion, one billion, one hundred million, one hundred one thousand, seventy-three".