10101010010001 has 32 divisors (see below), whose sum is σ = 13774474009728. Its totient is φ = 6582581913600.

The previous prime is 10101010009927. The next prime is 10101010010027. The reversal of 10101010010001 is 10001001010101.

It is not a de Polignac number, because 10101010010001 - 2¹¹ = 10101010007953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10101010010041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18239026 + ... + 18784676.

It is an arithmetic number, because the mean of its divisors is an integer number (430452312804).

Almost surely, 2^{10101010010001} is an apocalyptic number.

It is an amenable number.

10101010010001 is a deficient number, since it is larger than the sum of its proper divisors (3673463999727).

10101010010001 is a wasteful number, since it uses less digits than its factorization.

10101010010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546481.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10101010010001 its reverse (10001001010101), we get a palindrome (20102011020102).

It can be divided in two parts, 101010100 and 10001, that added together give a palindrome (101020101).

The spelling of 10101010010001 in words is "ten trillion, one hundred one billion, ten million, ten thousand, one".