101010000001 has 2 divisors, whose sum is σ = 101010000002. Its totient is φ = 101010000000.

The previous prime is 101009999977. The next prime is 101010000011. The reversal of 101010000001 is 100000010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83406017601 + 17603982400 = 288801^2 + 132680^2 .

It is an emirp because it is prime and its reverse (100000010101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101010000001 - 2¹³ = 101009991809 is a prime.

It is not a weakly prime, because it can be changed into another prime (101010000011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505000000 + 50505000001.

It is an arithmetic number, because the mean of its divisors is an integer number (50505000001).

Almost surely, 2^101010000001 is an apocalyptic number.

It is an amenable number.

101010000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010000001 is an equidigital number, since it uses as much as digits as its factorization.

101010000001 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 101010000001 its reverse (100000010101), we get a palindrome (201010010102).

The spelling of 101010000001 in words is "one hundred one billion, ten million, one", and thus it is an aban number.