10102006050001 has 2 divisors, whose sum is σ = 10102006050002. Its totient is φ = 10102006050000.

The previous prime is 10102006049969. The next prime is 10102006050041. The reversal of 10102006050001 is 10005060020101.

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., 9316657382400 + 785348667601 = 3052320^2 + 886199^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102006050001 - 2⁵ = 10102006049969 is a prime.

It is not a weakly prime, because it can be changed into another prime (10102006050041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051003025000 + 5051003025001.

It is an arithmetic number, because the mean of its divisors is an integer number (5051003025001).

Almost surely, 2^{10102006050001} is an apocalyptic number.

It is an amenable number.

10102006050001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102006050001 is an equidigital number, since it uses as much as digits as its factorization.

10102006050001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60, while the sum is 16.

Adding to 10102006050001 its reverse (10005060020101), we get a palindrome (20107066070102).

The spelling of 10102006050001 in words is "ten trillion, one hundred two billion, six million, fifty thousand, one".