100101101010073 has 2 divisors, whose sum is σ = 100101101010074. Its totient is φ = 100101101010072.

The previous prime is 100101101010007. The next prime is 100101101010199. The reversal of 100101101010073 is 370010101101001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91988105827849 + 8112995182224 = 9591043^2 + 2848332^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101101010073 - 2¹⁷ = 100101100879001 is a prime.

It is not a weakly prime, because it can be changed into another prime (100101101310073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050550505036 + 50050550505037.

It is an arithmetic number, because the mean of its divisors is an integer number (50050550505037).

Almost surely, 2^{100101101010073} is an apocalyptic number.

It is an amenable number.

100101101010073 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101101010073 is an equidigital number, since it uses as much as digits as its factorization.

100101101010073 is an evil number, because the sum of its binary digits is even.

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

Adding to 100101101010073 its reverse (370010101101001), we get a palindrome (470111202111074).

The spelling of 100101101010073 in words is "one hundred trillion, one hundred one billion, one hundred one million, ten thousand, seventy-three".