10001100101001 has 16 divisors (see below), whose sum is σ = 13472110496448. Its totient is φ = 6598862350400.

The previous prime is 10001100100939. The next prime is 10001100101059. The reversal of 10001100101001 is 10010100110001.

It is a cyclic number.

It is not a de Polignac number, because 10001100101001 - 2⁹ = 10001100100489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10001100101401) 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, 14341830 + ... + 15022991.

It is an arithmetic number, because the mean of its divisors is an integer number (842006906028).

Almost surely, 2^{10001100101001} is an apocalyptic number.

It is an amenable number.

10001100101001 is a deficient number, since it is larger than the sum of its proper divisors (3471010395447).

10001100101001 is a wasteful number, since it uses less digits than its factorization.

10001100101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29365992.

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

Adding to 10001100101001 its reverse (10010100110001), we get a palindrome (20011200211002).

It can be divided in two parts, 10001 and 100101001, that multiplied together give a palindrome (1001110111001).

The spelling of 10001100101001 in words is "ten trillion, one billion, one hundred million, one hundred one thousand, one".