10101001001 has 16 divisors (see below), whose sum is σ = 12494496000. Its totient is φ = 7951825728.

The previous prime is 10101000961. The next prime is 10101001037. The reversal of 10101001001 is 10010010101.

10101001001 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10101001001 - 2⁶ = 10101000937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10101001601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260786 + ... + 297003.

It is an arithmetic number, because the mean of its divisors is an integer number (780906000).

Almost surely, 2^10101001001 is an apocalyptic number.

It is an amenable number.

10101001001 is a deficient number, since it is larger than the sum of its proper divisors (2393494999).

10101001001 is a wasteful number, since it uses less digits than its factorization.

10101001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558008.

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

Adding to 10101001001 its reverse (10010010101), we get a palindrome (20111011102).

It can be divided in two parts, 1010100 and 1001, that added together give a palindrome (1011101).

The spelling of 10101001001 in words is "ten billion, one hundred one million, one thousand, one".