2102211021121 has 2 divisors, whose sum is σ = 2102211021122. Its totient is φ = 2102211021120.

The previous prime is 2102211021083. The next prime is 2102211021151. The reversal of 2102211021121 is 1211201122012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1893750290496 + 208460730625 = 1376136^2 + 456575^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102211021121 - 2²⁵ = 2102177466689 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2102211021095 and 2102211021104.

It is not a weakly prime, because it can be changed into another prime (2102211021151) 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, 1051105510560 + 1051105510561.

It is an arithmetic number, because the mean of its divisors is an integer number (1051105510561).

Almost surely, 2^{2102211021121} is an apocalyptic number.

It is an amenable number.

2102211021121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102211021121 is an equidigital number, since it uses as much as digits as its factorization.

2102211021121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2102211021121 its reverse (1211201122012), we get a palindrome (3313412143133).

The spelling of 2102211021121 in words is "two trillion, one hundred two billion, two hundred eleven million, twenty-one thousand, one hundred twenty-one".