102011112120217 has 2 divisors, whose sum is σ = 102011112120218. Its totient is φ = 102011112120216.

The previous prime is 102011112120097. The next prime is 102011112120223. The reversal of 102011112120217 is 712021211110201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94284468980361 + 7726643139856 = 9710019^2 + 2779684^2 .

It is a cyclic number.

It is not a de Polignac number, because 102011112120217 - 2¹¹ = 102011112118169 is a prime.

It is not a weakly prime, because it can be changed into another prime (102011112120017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51005556060108 + 51005556060109.

It is an arithmetic number, because the mean of its divisors is an integer number (51005556060109).

Almost surely, 2^{102011112120217} is an apocalyptic number.

It is an amenable number.

102011112120217 is a deficient number, since it is larger than the sum of its proper divisors (1).

102011112120217 is an equidigital number, since it uses as much as digits as its factorization.

102011112120217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 22.

Adding to 102011112120217 its reverse (712021211110201), we get a palindrome (814032323230418).

The spelling of 102011112120217 in words is "one hundred two trillion, eleven billion, one hundred twelve million, one hundred twenty thousand, two hundred seventeen".