102201121332181 has 2 divisors, whose sum is σ = 102201121332182. Its totient is φ = 102201121332180.

The previous prime is 102201121331941. The next prime is 102201121332203. The reversal of 102201121332181 is 181233121102201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89977252381956 + 12223868950225 = 9485634^2 + 3496265^2 .

It is a cyclic number.

It is not a de Polignac number, because 102201121332181 - 2³³ = 102192531397589 is a prime.

It is a super-2 number, since 2×102201121332181² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102201121332781) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51100560666090 + 51100560666091.

It is an arithmetic number, because the mean of its divisors is an integer number (51100560666091).

Almost surely, 2^{102201121332181} is an apocalyptic number.

It is an amenable number.

102201121332181 is a deficient number, since it is larger than the sum of its proper divisors (1).

102201121332181 is an equidigital number, since it uses as much as digits as its factorization.

102201121332181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 28.

Adding to 102201121332181 its reverse (181233121102201), we get a palindrome (283434242434382).

The spelling of 102201121332181 in words is "one hundred two trillion, two hundred one billion, one hundred twenty-one million, three hundred thirty-two thousand, one hundred eighty-one".