10001100111201 has 12 divisors (see below), whose sum is σ = 14456494072020. Its totient is φ = 6662572115040.

The previous prime is 10001100111173. The next prime is 10001100111209. The reversal of 10001100111201 is 10211100110001.

It can be written as a sum of positive squares in 2 ways, for example, as 7352666096400 + 2648434014801 = 2711580^2 + 1627401^2 .

It is not a de Polignac number, because 10001100111201 - 2¹¹ = 10001100109153 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10001100111209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 402316806 + ... + 402341663.

It is an arithmetic number, because the mean of its divisors is an integer number (1204707839335).

Almost surely, 2^{10001100111201} is an apocalyptic number.

It is an amenable number.

10001100111201 is a deficient number, since it is larger than the sum of its proper divisors (4455393960819).

10001100111201 is a wasteful number, since it uses less digits than its factorization.

10001100111201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804659856 (or 804659853 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10001100111201 its reverse (10211100110001), we get a palindrome (20212200221202).

The spelling of 10001100111201 in words is "ten trillion, one billion, one hundred million, one hundred eleven thousand, two hundred one".