100101001011073 has 2 divisors, whose sum is σ = 100101001011074. Its totient is φ = 100101001011072.

The previous prime is 100101001011043. The next prime is 100101001011127. The reversal of 100101001011073 is 370110100101001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70230316404609 + 29870684606464 = 8380353^2 + 5465408^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101001011073 - 2⁵ = 100101001011041 is a prime.

It is a super-2 number, since 2×100101001011073² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100101001011043) 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, 50050500505536 + 50050500505537.

It is an arithmetic number, because the mean of its divisors is an integer number (50050500505537).

Almost surely, 2^{100101001011073} is an apocalyptic number.

It is an amenable number.

100101001011073 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101001011073 is an equidigital number, since it uses as much as digits as its factorization.

100101001011073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21, while the sum is 16.

Adding to 100101001011073 its reverse (370110100101001), we get a palindrome (470211101112074).

The spelling of 100101001011073 in words is "one hundred trillion, one hundred one billion, one million, eleven thousand, seventy-three".