10000101011001 has 8 divisors (see below), whose sum is σ = 13338371838720. Its totient is φ = 6664282095312.

The previous prime is 10000101010951. The next prime is 10000101011077. The reversal of 10000101011001 is 10011010100001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10000101011001 - 2⁶ = 10000101010937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10000101011081) 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 7 ways as a sum of consecutive naturals, for example, 612968490 + ... + 612984803.

It is an arithmetic number, because the mean of its divisors is an integer number (1667296479840).

Almost surely, 2^{10000101011001} is an apocalyptic number.

It is an amenable number.

10000101011001 is a deficient number, since it is larger than the sum of its proper divisors (3338270827719).

10000101011001 is a wasteful number, since it uses less digits than its factorization.

10000101011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225956015.

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

Adding to 10000101011001 its reverse (10011010100001), we get a palindrome (20011111111002).

The spelling of 10000101011001 in words is "ten trillion, one hundred one million, eleven thousand, one".