102100102017103 has 2 divisors, whose sum is σ = 102100102017104. Its totient is φ = 102100102017102.

The previous prime is 102100102017097. The next prime is 102100102017119. The reversal of 102100102017103 is 301710201001201.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 102100102017103 - 2²⁵ = 102100068462671 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102100102014103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050051008551 + 51050051008552.

It is an arithmetic number, because the mean of its divisors is an integer number (51050051008552).

Almost surely, 2^{102100102017103} is an apocalyptic number.

102100102017103 is a deficient number, since it is larger than the sum of its proper divisors (1).

102100102017103 is an equidigital number, since it uses as much as digits as its factorization.

102100102017103 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84, while the sum is 19.

Adding to 102100102017103 its reverse (301710201001201), we get a palindrome (403810303018304).

The spelling of 102100102017103 in words is "one hundred two trillion, one hundred billion, one hundred two million, seventeen thousand, one hundred three".