10001100502009 has 2 divisors, whose sum is σ = 10001100502010. Its totient is φ = 10001100502008.

The previous prime is 10001100501991. The next prime is 10001100502033. The reversal of 10001100502009 is 90020500110001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6412178643984 + 3588921858025 = 2532228^2 + 1894445^2 .

It is an emirp because it is prime and its reverse (90020500110001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10001100502009 - 2⁷ = 10001100501881 is a prime.

It is a super-2 number, since 2×10001100502009² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10001100502109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000550251004 + 5000550251005.

It is an arithmetic number, because the mean of its divisors is an integer number (5000550251005).

Almost surely, 2^{10001100502009} is an apocalyptic number.

It is an amenable number.

10001100502009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001100502009 is an equidigital number, since it uses as much as digits as its factorization.

10001100502009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 90, while the sum is 19.

The spelling of 10001100502009 in words is "ten trillion, one billion, one hundred million, five hundred two thousand, nine".