10200120100073 has 2 divisors, whose sum is σ = 10200120100074. Its totient is φ = 10200120100072.

The previous prime is 10200120100067. The next prime is 10200120100151. The reversal of 10200120100073 is 37000102100201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6042811153369 + 4157308946704 = 2458213^2 + 2038948^2 .

It is a cyclic number.

It is not a de Polignac number, because 10200120100073 - 2⁴ = 10200120100057 is a prime.

It is not a weakly prime, because it can be changed into another prime (10200120100013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100060050036 + 5100060050037.

It is an arithmetic number, because the mean of its divisors is an integer number (5100060050037).

Almost surely, 2^{10200120100073} is an apocalyptic number.

It is an amenable number.

10200120100073 is a deficient number, since it is larger than the sum of its proper divisors (1).

10200120100073 is an equidigital number, since it uses as much as digits as its factorization.

10200120100073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 17.

Adding to 10200120100073 its reverse (37000102100201), we get a palindrome (47200222200274).

The spelling of 10200120100073 in words is "ten trillion, two hundred billion, one hundred twenty million, one hundred thousand, seventy-three".