11220002122121 has 8 divisors (see below), whose sum is σ = 12144414638664. Its totient is φ = 10304351809920.

The previous prime is 11220002122117. The next prime is 11220002122151. The reversal of 11220002122121 is 12122120002211.

It can be written as a sum of positive squares in 4 ways, for example, as 3513604040521 + 7706398081600 = 1874461^2 + 2776040^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 11220002122121 - 2² = 11220002122117 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11220002122121.

It is not an unprimeable number, because it can be changed into a prime (11220002122151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2190548420 + ... + 2190553541.

It is an arithmetic number, because the mean of its divisors is an integer number (1518051829833).

Almost surely, 2^{11220002122121} is an apocalyptic number.

It is an amenable number.

11220002122121 is a deficient number, since it is larger than the sum of its proper divisors (924412516543).

11220002122121 is a wasteful number, since it uses less digits than its factorization.

11220002122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4381102171.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 11220002122121 its reverse (12122120002211), we get a palindrome (23342122124332).

The spelling of 11220002122121 in words is "eleven trillion, two hundred twenty billion, two million, one hundred twenty-two thousand, one hundred twenty-one".