100033002010009 has 2 divisors, whose sum is σ = 100033002010010. Its totient is φ = 100033002010008.

The previous prime is 100033002009961. The next prime is 100033002010043. The reversal of 100033002010009 is 900010200330001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98430765027984 + 1602236982025 = 9921228^2 + 1265795^2 .

It is a cyclic number.

It is not a de Polignac number, because 100033002010009 - 2²³ = 100032993621401 is a prime.

It is a super-2 number, since 2×100033002010009² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100033002010309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50016501005004 + 50016501005005.

It is an arithmetic number, because the mean of its divisors is an integer number (50016501005005).

Almost surely, 2^{100033002010009} is an apocalyptic number.

It is an amenable number.

100033002010009 is a deficient number, since it is larger than the sum of its proper divisors (1).

100033002010009 is an equidigital number, since it uses as much as digits as its factorization.

100033002010009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 19.

The spelling of 100033002010009 in words is "one hundred trillion, thirty-three billion, two million, ten thousand, nine".