102233121332161 has 2 divisors, whose sum is σ = 102233121332162. Its totient is φ = 102233121332160.

The previous prime is 102233121332143. The next prime is 102233121332207. The reversal of 102233121332161 is 161233121332201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97393825306561 + 4839296025600 = 9868831^2 + 2199840^2 .

It is a cyclic number.

It is not a de Polignac number, because 102233121332161 - 2³¹ = 102230973848513 is a prime.

It is a super-2 number, since 2×102233121332161² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102233121332141) 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, 51116560666080 + 51116560666081.

It is an arithmetic number, because the mean of its divisors is an integer number (51116560666081).

Almost surely, 2^{102233121332161} is an apocalyptic number.

It is an amenable number.

102233121332161 is a deficient number, since it is larger than the sum of its proper divisors (1).

102233121332161 is an equidigital number, since it uses as much as digits as its factorization.

102233121332161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 31.

Adding to 102233121332161 its reverse (161233121332201), we get a palindrome (263466242664362).

The spelling of 102233121332161 in words is "one hundred two trillion, two hundred thirty-three billion, one hundred twenty-one million, three hundred thirty-two thousand, one hundred sixty-one".