10102102201073 has 2 divisors, whose sum is σ = 10102102201074. Its totient is φ = 10102102201072.

The previous prime is 10102102201001. The next prime is 10102102201129. The reversal of 10102102201073 is 37010220120101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5520653054449 + 4581449146624 = 2349607^2 + 2140432^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102102201073 - 2¹⁴ = 10102102184689 is a prime.

It is not a weakly prime, because it can be changed into another prime (10102102801073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051051100536 + 5051051100537.

It is an arithmetic number, because the mean of its divisors is an integer number (5051051100537).

Almost surely, 2^{10102102201073} is an apocalyptic number.

It is an amenable number.

10102102201073 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102102201073 is an equidigital number, since it uses as much as digits as its factorization.

10102102201073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 168, while the sum is 20.

Adding to 10102102201073 its reverse (37010220120101), we get a palindrome (47112322321174).

The spelling of 10102102201073 in words is "ten trillion, one hundred two billion, one hundred two million, two hundred one thousand, seventy-three".