1005000005101 has 2 divisors, whose sum is σ = 1005000005102. Its totient is φ = 1005000005100.

The previous prime is 1005000005077. The next prime is 1005000005117. The reversal of 1005000005101 is 1015000005001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 862806907876 + 142193097225 = 928874^2 + 377085^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005000005101 - 2⁷ = 1005000004973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005000005501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502500002550 + 502500002551.

It is an arithmetic number, because the mean of its divisors is an integer number (502500002551).

Almost surely, 2^{1005000005101} is an apocalyptic number.

It is an amenable number.

1005000005101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005000005101 is an equidigital number, since it uses as much as digits as its factorization.

1005000005101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 25, while the sum is 13.

The spelling of 1005000005101 in words is "one trillion, five billion, five thousand, one hundred one".