100102220210009 has 2 divisors, whose sum is σ = 100102220210010. Its totient is φ = 100102220210008.

The previous prime is 100102220209987. The next prime is 100102220210051. The reversal of 100102220210009 is 900012022201001.

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., 57914337361609 + 42187882848400 = 7610147^2 + 6495220^2 .

It is a cyclic number.

It is not a de Polignac number, because 100102220210009 - 2²⁴ = 100102203432793 is a prime.

It is not a weakly prime, because it can be changed into another prime (100107220210009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50051110105004 + 50051110105005.

It is an arithmetic number, because the mean of its divisors is an integer number (50051110105005).

Almost surely, 2^{100102220210009} is an apocalyptic number.

It is an amenable number.

100102220210009 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102220210009 is an equidigital number, since it uses as much as digits as its factorization.

100102220210009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 100102220210009 in words is "one hundred trillion, one hundred two billion, two hundred twenty million, two hundred ten thousand, nine".