100102100000921 has 2 divisors, whose sum is σ = 100102100000922. Its totient is φ = 100102100000920.

The previous prime is 100102100000909. The next prime is 100102100000939. The reversal of 100102100000921 is 129000001201001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69827499001225 + 30274600999696 = 8356285^2 + 5502236^2 .

It is a cyclic number.

It is not a de Polignac number, because 100102100000921 - 2¹⁰ = 100102099999897 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100102100000921.

It is not a weakly prime, because it can be changed into another prime (100102100000941) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50051050000460 + 50051050000461.

It is an arithmetic number, because the mean of its divisors is an integer number (50051050000461).

Almost surely, 2^{100102100000921} is an apocalyptic number.

It is an amenable number.

100102100000921 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102100000921 is an equidigital number, since it uses as much as digits as its factorization.

100102100000921 is an odious number, because the sum of its binary digits is odd.

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

Adding to 100102100000921 its reverse (129000001201001), we get a palindrome (229102101201922).

The spelling of 100102100000921 in words is "one hundred trillion, one hundred two billion, one hundred million, nine hundred twenty-one", and thus it is an aban number.