100000202110009 has 2 divisors, whose sum is σ = 100000202110010. Its totient is φ = 100000202110008.

The previous prime is 100000202109961. The next prime is 100000202110057. The reversal of 100000202110009 is 900011202000001.

It is a balanced prime because it is at equal distance from previous prime (100000202109961) and next prime (100000202110057).

It can be written as a sum of positive squares in only one way, i.e., 90792788675625 + 9207413434384 = 9528525^2 + 3034372^2 .

It is a cyclic number.

It is not a de Polignac number, because 100000202110009 - 2¹⁹ = 100000201585721 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100000202109974 and 100000202110001.

It is not a weakly prime, because it can be changed into another prime (100000202110409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000101055004 + 50000101055005.

It is an arithmetic number, because the mean of its divisors is an integer number (50000101055005).

Almost surely, 2^{100000202110009} is an apocalyptic number.

It is an amenable number.

100000202110009 is a deficient number, since it is larger than the sum of its proper divisors (1).

100000202110009 is an equidigital number, since it uses as much as digits as its factorization.

100000202110009 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 16.

The spelling of 100000202110009 in words is "one hundred trillion, two hundred two million, one hundred ten thousand, nine".