2200121200121 has 32 divisors (see below), whose sum is σ = 2465005646880. Its totient is φ = 1950916091904.

The previous prime is 2200121200111. The next prime is 2200121200139. The reversal of 2200121200121 is 1210021210022.

It can be written as a sum of positive squares in 16 ways, for example, as 651270400 + 2199469929721 = 25520^2 + 1483061^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2200121200121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2200121200096 and 2200121200105.

It is not an unprimeable number, because it can be changed into a prime (2200121200111) 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 31 ways as a sum of consecutive naturals, for example, 6731045 + ... + 7050333.

It is an arithmetic number, because the mean of its divisors is an integer number (77031426465).

Almost surely, 2^{2200121200121} is an apocalyptic number.

It is an amenable number.

2200121200121 is a deficient number, since it is larger than the sum of its proper divisors (264884446759).

2200121200121 is a wasteful number, since it uses less digits than its factorization.

2200121200121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319565.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2200121200121 its reverse (1210021210022), we get a palindrome (3410142410143).

Subtracting from 2200121200121 its reverse (1210021210022), we obtain a palindrome (990099990099).

The spelling of 2200121200121 in words is "two trillion, two hundred billion, one hundred twenty-one million, two hundred thousand, one hundred twenty-one".