10106010600641 has 2 divisors, whose sum is σ = 10106010600642. Its totient is φ = 10106010600640.

The previous prime is 10106010600593. The next prime is 10106010600661. The reversal of 10106010600641 is 14600601060101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9374864185600 + 731146415041 = 3061840^2 + 855071^2 .

It is a cyclic number.

It is not a de Polignac number, because 10106010600641 - 2²² = 10106006406337 is a prime.

It is a super-2 number, since 2×10106010600641² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10106010600641.

It is not a weakly prime, because it can be changed into another prime (10106010600661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5053005300320 + 5053005300321.

It is an arithmetic number, because the mean of its divisors is an integer number (5053005300321).

Almost surely, 2^{10106010600641} is an apocalyptic number.

It is an amenable number.

10106010600641 is a deficient number, since it is larger than the sum of its proper divisors (1).

10106010600641 is an equidigital number, since it uses as much as digits as its factorization.

10106010600641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 26.

Adding to 10106010600641 its reverse (14600601060101), we get a palindrome (24706611660742).

The spelling of 10106010600641 in words is "ten trillion, one hundred six billion, ten million, six hundred thousand, six hundred forty-one".