10102023120073 has 2 divisors, whose sum is σ = 10102023120074. Its totient is φ = 10102023120072.

The previous prime is 10102023120071. The next prime is 10102023120097. The reversal of 10102023120073 is 37002132020101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10078167699769 + 23855420304 = 3174613^2 + 154452^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102023120073 - 2¹ = 10102023120071 is a prime.

It is a super-2 number, since 2×10102023120073² (a number of 27 digits) contains 22 as substring.

Together with 10102023120071, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10102023120071) 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, 5051011560036 + 5051011560037.

It is an arithmetic number, because the mean of its divisors is an integer number (5051011560037).

Almost surely, 2^{10102023120073} is an apocalyptic number.

It is an amenable number.

10102023120073 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102023120073 is an equidigital number, since it uses as much as digits as its factorization.

10102023120073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 22.

Adding to 10102023120073 its reverse (37002132020101), we get a palindrome (47104155140174).

The spelling of 10102023120073 in words is "ten trillion, one hundred two billion, twenty-three million, one hundred twenty thousand, seventy-three".