102100112101217 has 2 divisors, whose sum is σ = 102100112101218. Its totient is φ = 102100112101216.

The previous prime is 102100112101201. The next prime is 102100112101237. The reversal of 102100112101217 is 712101211001201.

It is a happy number.

It is an a-pointer prime, because the next prime (102100112101237) can be obtained adding 102100112101217 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53656855607056 + 48443256494161 = 7325084^2 + 6960119^2 .

It is a cyclic number.

It is not a de Polignac number, because 102100112101217 - 2⁴ = 102100112101201 is a prime.

It is not a weakly prime, because it can be changed into another prime (102100112101237) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050056050608 + 51050056050609.

It is an arithmetic number, because the mean of its divisors is an integer number (51050056050609).

Almost surely, 2^{102100112101217} is an apocalyptic number.

It is an amenable number.

102100112101217 is a deficient number, since it is larger than the sum of its proper divisors (1).

102100112101217 is an equidigital number, since it uses as much as digits as its factorization.

102100112101217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56, while the sum is 20.

Adding to 102100112101217 its reverse (712101211001201), we get a palindrome (814201323102418).

The spelling of 102100112101217 in words is "one hundred two trillion, one hundred billion, one hundred twelve million, one hundred one thousand, two hundred seventeen".