10000101001 has 16 divisors (see below), whose sum is σ = 11397153600. Its totient is φ = 8690584000.

The previous prime is 10000100987. The next prime is 10000101073. The reversal of 10000101001 is 10010100001.

It is a cyclic number.

It is not a de Polignac number, because 10000101001 - 2⁹ = 10000100489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10000101091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122971 + ... + 187408.

It is an arithmetic number, because the mean of its divisors is an integer number (712322100).

Almost surely, 2^10000101001 is an apocalyptic number.

10000101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10000101001 is a deficient number, since it is larger than the sum of its proper divisors (1397052599).

10000101001 is a wasteful number, since it uses less digits than its factorization.

10000101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310520.

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 10000101001 its reverse (10010100001), we get a palindrome (20010201002).

The spelling of 10000101001 in words is "ten billion, one hundred one thousand, one".