10100101001 has 2 divisors, whose sum is σ = 10100101002. Its totient is φ = 10100101000.

The previous prime is 10100100991. The next prime is 10100101031. The reversal of 10100101001 is 10010100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9568752400 + 531348601 = 97820^2 + 23051^2 .

It is an emirp because it is prime and its reverse (10010100101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10100101001 - 2¹⁸ = 10099838857 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100101031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050050500 + 5050050501.

It is an arithmetic number, because the mean of its divisors is an integer number (5050050501).

Almost surely, 2^10100101001 is an apocalyptic number.

It is an amenable number.

10100101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100101001 is an equidigital number, since it uses as much as digits as its factorization.

10100101001 is an odious number, because the sum of its binary digits is odd.

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

Adding to 10100101001 its reverse (10010100101), we get a palindrome (20110201102).

The spelling of 10100101001 in words is "ten billion, one hundred million, one hundred one thousand, one".