10100001001 has 2 divisors, whose sum is σ = 10100001002. Its totient is φ = 10100001000.

The previous prime is 10100000983. The next prime is 10100001059. The reversal of 10100001001 is 10010000101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6569264601 + 3530736400 = 81051^2 + 59420^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100001001 - 2⁵ = 10100000969 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100005001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050000500 + 5050000501.

It is an arithmetic number, because the mean of its divisors is an integer number (5050000501).

Almost surely, 2^10100001001 is an apocalyptic number.

It is an amenable number.

10100001001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100001001 is an equidigital number, since it uses as much as digits as its factorization.

10100001001 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 10100001001 its reverse (10010000101), we get a palindrome (20110001102).

It can be divided in two parts, 1010000100 and 1, that added together give a palindrome (1010000101).

The spelling of 10100001001 in words is "ten billion, one hundred million, one thousand, one".