102100200000989 has 2 divisors, whose sum is σ = 102100200000990. Its totient is φ = 102100200000988.

The previous prime is 102100200000983. The next prime is 102100200001001. The reversal of 102100200000989 is 989000002001201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67306305137764 + 34793894863225 = 8204042^2 + 5898635^2 .

It is a cyclic number.

It is not a de Polignac number, because 102100200000989 - 2¹⁶ = 102100199935453 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102100200000983) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050100000494 + 51050100000495.

It is an arithmetic number, because the mean of its divisors is an integer number (51050100000495).

Almost surely, 2^{102100200000989} is an apocalyptic number.

It is an amenable number.

102100200000989 is a deficient number, since it is larger than the sum of its proper divisors (1).

102100200000989 is an equidigital number, since it uses as much as digits as its factorization.

102100200000989 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 32.

The spelling of 102100200000989 in words is "one hundred two trillion, one hundred billion, two hundred million, nine hundred eighty-nine", and thus it is an aban number.