102101110102181 has 2 divisors, whose sum is σ = 102101110102182. Its totient is φ = 102101110102180.

The previous prime is 102101110102163. The next prime is 102101110102253. The reversal of 102101110102181 is 181201011101201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100901844190081 + 1199265912100 = 10044991^2 + 1095110^2 .

It is a cyclic number.

It is not a de Polignac number, because 102101110102181 - 2³⁴ = 102083930232997 is a prime.

It is a super-4 number, since 4×102101110102181⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102101110132181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050555051090 + 51050555051091.

It is an arithmetic number, because the mean of its divisors is an integer number (51050555051091).

Almost surely, 2^{102101110102181} is an apocalyptic number.

It is an amenable number.

102101110102181 is a deficient number, since it is larger than the sum of its proper divisors (1).

102101110102181 is an equidigital number, since it uses as much as digits as its factorization.

102101110102181 is an odious number, because the sum of its binary digits is odd.

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

Adding to 102101110102181 its reverse (181201011101201), we get a palindrome (283302121203382).

The spelling of 102101110102181 in words is "one hundred two trillion, one hundred one billion, one hundred ten million, one hundred two thousand, one hundred eighty-one".