1005010100051 has 2 divisors, whose sum is σ = 1005010100052. Its totient is φ = 1005010100050.

The previous prime is 1005010100047. The next prime is 1005010100089. The reversal of 1005010100051 is 1500010105001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1005010100051 - 2² = 1005010100047 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1005010099999 and 1005010100035.

It is not a weakly prime, because it can be changed into another prime (1005010100011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502505050025 + 502505050026.

It is an arithmetic number, because the mean of its divisors is an integer number (502505050026).

Almost surely, 2^{1005010100051} is an apocalyptic number.

1005010100051 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005010100051 is an equidigital number, since it uses as much as digits as its factorization.

1005010100051 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25, while the sum is 14.

Adding to 1005010100051 its reverse (1500010105001), we get a palindrome (2505020205052).

The spelling of 1005010100051 in words is "one trillion, five billion, ten million, one hundred thousand, fifty-one".