2121201103121 has 2 divisors, whose sum is σ = 2121201103122. Its totient is φ = 2121201103120.

The previous prime is 2121201103117. The next prime is 2121201103127. The reversal of 2121201103121 is 1213011021212.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1284504889600 + 836696213521 = 1133360^2 + 914711^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121201103121 - 2² = 2121201103117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2121201103121.

It is not a weakly prime, because it can be changed into another prime (2121201103127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060600551560 + 1060600551561.

It is an arithmetic number, because the mean of its divisors is an integer number (1060600551561).

Almost surely, 2^{2121201103121} is an apocalyptic number.

It is an amenable number.

2121201103121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121201103121 is an equidigital number, since it uses as much as digits as its factorization.

2121201103121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 2121201103121 its reverse (1213011021212), we get a palindrome (3334212124333).

The spelling of 2121201103121 in words is "two trillion, one hundred twenty-one billion, two hundred one million, one hundred three thousand, one hundred twenty-one".