102100110121181 has 2 divisors, whose sum is σ = 102100110121182. Its totient is φ = 102100110121180.

The previous prime is 102100110121057. The next prime is 102100110121189. The reversal of 102100110121181 is 181121011001201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101001816601156 + 1098293520025 = 10049966^2 + 1047995^2 .

It is a cyclic number.

It is not a de Polignac number, because 102100110121181 - 2⁴² = 97702063610077 is a prime.

It is a super-2 number, since 2×102100110121181² (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 (102100110121189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050055060590 + 51050055060591.

It is an arithmetic number, because the mean of its divisors is an integer number (51050055060591).

Almost surely, 2^{102100110121181} is an apocalyptic number.

It is an amenable number.

102100110121181 is a deficient number, since it is larger than the sum of its proper divisors (1).

102100110121181 is an equidigital number, since it uses as much as digits as its factorization.

102100110121181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 20.

Adding to 102100110121181 its reverse (181121011001201), we get a palindrome (283221121122382).

The spelling of 102100110121181 in words is "one hundred two trillion, one hundred billion, one hundred ten million, one hundred twenty-one thousand, one hundred eighty-one".