10201100009 has 2 divisors, whose sum is σ = 10201100010. Its totient is φ = 10201100008.

The previous prime is 10201099919. The next prime is 10201100023. The reversal of 10201100009 is 90000110201.

It is an a-pointer prime, because the next prime (10201100023) can be obtained adding 10201100009 to its sum of digits (14).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9964032400 + 237067609 = 99820^2 + 15397^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201100009 - 2¹² = 10201095913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10201099966 and 10201100002.

It is not a weakly prime, because it can be changed into another prime (10201100909) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100550004 + 5100550005.

It is an arithmetic number, because the mean of its divisors is an integer number (5100550005).

Almost surely, 2^10201100009 is an apocalyptic number.

It is an amenable number.

10201100009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201100009 is an equidigital number, since it uses as much as digits as its factorization.

10201100009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 14.

The spelling of 10201100009 in words is "ten billion, two hundred one million, one hundred thousand, nine".