10102102006037 has 2 divisors, whose sum is σ = 10102102006038. Its totient is φ = 10102102006036.

The previous prime is 10102102006033. The next prime is 10102102006079. The reversal of 10102102006037 is 73060020120101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10090063308196 + 12038697841 = 3176486^2 + 109721^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102102006037 - 2² = 10102102006033 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10102102006033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051051003018 + 5051051003019.

It is an arithmetic number, because the mean of its divisors is an integer number (5051051003019).

Almost surely, 2^{10102102006037} is an apocalyptic number.

It is an amenable number.

10102102006037 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102102006037 is an equidigital number, since it uses as much as digits as its factorization.

10102102006037 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 23.

Adding to 10102102006037 its reverse (73060020120101), we get a palindrome (83162122126138).

The spelling of 10102102006037 in words is "ten trillion, one hundred two billion, one hundred two million, six thousand, thirty-seven".