2102221211137 has 2 divisors, whose sum is σ = 2102221211138. Its totient is φ = 2102221211136.

The previous prime is 2102221211089. The next prime is 2102221211147. The reversal of 2102221211137 is 7311121222012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1169791501761 + 932429709376 = 1081569^2 + 965624^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102221211137 - 2³¹ = 2100073727489 is a prime.

It is not a weakly prime, because it can be changed into another prime (2102221211147) 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 as a sum of consecutive naturals, namely, 1051110605568 + 1051110605569.

It is an arithmetic number, because the mean of its divisors is an integer number (1051110605569).

Almost surely, 2^{2102221211137} is an apocalyptic number.

It is an amenable number.

2102221211137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102221211137 is an equidigital number, since it uses as much as digits as its factorization.

2102221211137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 25.

Adding to 2102221211137 its reverse (7311121222012), we get a palindrome (9413342433149).

The spelling of 2102221211137 in words is "two trillion, one hundred two billion, two hundred twenty-one million, two hundred eleven thousand, one hundred thirty-seven".