10001100222121 has 4 divisors (see below), whose sum is σ = 10001110370500. Its totient is φ = 10001090073744.

The previous prime is 10001100222109. The next prime is 10001100222181. The reversal of 10001100222121 is 12122200110001.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 1951050240000 + 8050049982121 = 1396800^2 + 2837261^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001100222121 - 2³⁵ = 9966740483753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001100222181) 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 3 ways as a sum of consecutive naturals, for example, 3415146 + ... + 5627203.

It is an arithmetic number, because the mean of its divisors is an integer number (2500277592625).

Almost surely, 2^{10001100222121} is an apocalyptic number.

It is an amenable number.

10001100222121 is a deficient number, since it is larger than the sum of its proper divisors (10148379).

10001100222121 is an equidigital number, since it uses as much as digits as its factorization.

10001100222121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10148378.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10001100222121 its reverse (12122200110001), we get a palindrome (22123300332122).

The spelling of 10001100222121 in words is "ten trillion, one billion, one hundred million, two hundred twenty-two thousand, one hundred twenty-one".