221102102000137 has 2 divisors, whose sum is σ = 221102102000138. Its totient is φ = 221102102000136.

The previous prime is 221102102000081. The next prime is 221102102000191. The reversal of 221102102000137 is 731000201201122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 143272018397641 + 77830083602496 = 11969629^2 + 8822136^2 .

It is a cyclic number.

It is not a de Polignac number, because 221102102000137 - 2³¹ = 221099954516489 is a prime.

It is a super-2 number, since 2×221102102000137² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (221102102000237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110551051000068 + 110551051000069.

It is an arithmetic number, because the mean of its divisors is an integer number (110551051000069).

Almost surely, 2^{221102102000137} is an apocalyptic number.

It is an amenable number.

221102102000137 is a deficient number, since it is larger than the sum of its proper divisors (1).

221102102000137 is an equidigital number, since it uses as much as digits as its factorization.

221102102000137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 22.

Adding to 221102102000137 its reverse (731000201201122), we get a palindrome (952102303201259).

The spelling of 221102102000137 in words is "two hundred twenty-one trillion, one hundred two billion, one hundred two million, one hundred thirty-seven", and thus it is an aban number.