102102100100009 has 2 divisors, whose sum is σ = 102102100100010. Its totient is φ = 102102100100008.

The previous prime is 102102100099999. The next prime is 102102100100089. The reversal of 102102100100009 is 900001001201201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90034535754409 + 12067564345600 = 9488653^2 + 3473840^2 .

It is a cyclic number.

It is not a de Polignac number, because 102102100100009 - 2²⁴ = 102102083322793 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102102100100009.

It is not a weakly prime, because it can be changed into another prime (102102100100089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51051050050004 + 51051050050005.

It is an arithmetic number, because the mean of its divisors is an integer number (51051050050005).

Almost surely, 2^{102102100100009} is an apocalyptic number.

It is an amenable number.

102102100100009 is a deficient number, since it is larger than the sum of its proper divisors (1).

102102100100009 is an equidigital number, since it uses as much as digits as its factorization.

102102100100009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 17.

The spelling of 102102100100009 in words is "one hundred two trillion, one hundred two billion, one hundred million, one hundred thousand, nine".