1050005006101 has 2 divisors, whose sum is σ = 1050005006102. Its totient is φ = 1050005006100.

The previous prime is 1050005006059. The next prime is 1050005006131. The reversal of 1050005006101 is 1016005000501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 906970522500 + 143034483601 = 952350^2 + 378199^2 .

It is a cyclic number.

It is not a de Polignac number, because 1050005006101 - 2⁹ = 1050005005589 is a prime.

It is a super-2 number, since 2×1050005006101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1050005006131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 525002503050 + 525002503051.

It is an arithmetic number, because the mean of its divisors is an integer number (525002503051).

Almost surely, 2^{1050005006101} is an apocalyptic number.

It is an amenable number.

1050005006101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1050005006101 is an equidigital number, since it uses as much as digits as its factorization.

1050005006101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 150, while the sum is 19.

The spelling of 1050005006101 in words is "one trillion, fifty billion, five million, six thousand, one hundred one".