1000010100101 has 2 divisors, whose sum is σ = 1000010100102. Its totient is φ = 1000010100100.

The previous prime is 1000010100091. The next prime is 1000010100169. The reversal of 1000010100101 is 1010010100001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 693397617025 + 306612483076 = 832705^2 + 553726^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000010100101 - 2¹⁴ = 1000010083717 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000010109101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500005050050 + 500005050051.

It is an arithmetic number, because the mean of its divisors is an integer number (500005050051).

Almost surely, 2^{1000010100101} is an apocalyptic number.

It is an amenable number.

1000010100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000010100101 is an equidigital number, since it uses as much as digits as its factorization.

1000010100101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 1000010100101 its reverse (1010010100001), we get a palindrome (2010020200102).

The spelling of 1000010100101 in words is "one trillion, ten million, one hundred thousand, one hundred one".