1010000010001 has 2 divisors, whose sum is σ = 1010000010002. Its totient is φ = 1010000010000.

The previous prime is 1010000009969. The next prime is 1010000010011. The reversal of 1010000010001 is 1000100000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 926723902225 + 83276107776 = 962665^2 + 288576^2 .

It is an emirp because it is prime and its reverse (1000100000101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1010000010001 - 2⁵ = 1010000009969 is a prime.

It is not a weakly prime, because it can be changed into another prime (1010000010011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505000005000 + 505000005001.

It is an arithmetic number, because the mean of its divisors is an integer number (505000005001).

Almost surely, 2^{1010000010001} is an apocalyptic number.

It is an amenable number.

1010000010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010000010001 is an equidigital number, since it uses as much as digits as its factorization.

1010000010001 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 4.

Adding to 1010000010001 its reverse (1000100000101), we get a palindrome (2010100010102).

The spelling of 1010000010001 in words is "one trillion, ten billion, ten thousand, one".