10120010101073 has 2 divisors, whose sum is σ = 10120010101074. Its totient is φ = 10120010101072.

The previous prime is 10120010100961. The next prime is 10120010101133. The reversal of 10120010101073 is 37010101002101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10088043164224 + 31966936849 = 3176168^2 + 178793^2 .

It is a cyclic number.

It is not a de Polignac number, because 10120010101073 - 2¹⁴ = 10120010084689 is a prime.

It is not a weakly prime, because it can be changed into another prime (10120010109073) 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, 5060005050536 + 5060005050537.

It is an arithmetic number, because the mean of its divisors is an integer number (5060005050537).

Almost surely, 2^{10120010101073} is an apocalyptic number.

It is an amenable number.

10120010101073 is a deficient number, since it is larger than the sum of its proper divisors (1).

10120010101073 is an equidigital number, since it uses as much as digits as its factorization.

10120010101073 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 17.

Adding to 10120010101073 its reverse (37010101002101), we get a palindrome (47130111103174).

The spelling of 10120010101073 in words is "ten trillion, one hundred twenty billion, ten million, one hundred one thousand, seventy-three".