102120110202181 has 2 divisors, whose sum is σ = 102120110202182. Its totient is φ = 102120110202180.

The previous prime is 102120110202133. The next prime is 102120110202193. The reversal of 102120110202181 is 181202011021201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82574568573025 + 19545541629156 = 9087055^2 + 4421034^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102120110202181 is a prime.

It is a super-2 number, since 2×102120110202181² (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 (102120110202581) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51060055101090 + 51060055101091.

It is an arithmetic number, because the mean of its divisors is an integer number (51060055101091).

Almost surely, 2^{102120110202181} is an apocalyptic number.

It is an amenable number.

102120110202181 is a deficient number, since it is larger than the sum of its proper divisors (1).

102120110202181 is an equidigital number, since it uses as much as digits as its factorization.

102120110202181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 22.

Adding to 102120110202181 its reverse (181202011021201), we get a palindrome (283322121223382).

The spelling of 102120110202181 in words is "one hundred two trillion, one hundred twenty billion, one hundred ten million, two hundred two thousand, one hundred eighty-one".