10200123133009 has 32 divisors (see below), whose sum is σ = 10897382200320. Its totient is φ = 9534033600000.

The previous prime is 10200123132961. The next prime is 10200123133037. The reversal of 10200123133009 is 90033132100201.

10200123133009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10200123133009 - 2²⁵ = 10200089578577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10200123113009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44721759 + ... + 44949259.

It is an arithmetic number, because the mean of its divisors is an integer number (340543193760).

Almost surely, 2^{10200123133009} is an apocalyptic number.

It is an amenable number.

10200123133009 is a deficient number, since it is larger than the sum of its proper divisors (697259067311).

10200123133009 is a wasteful number, since it uses less digits than its factorization.

10200123133009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228081.

The product of its (nonzero) digits is 972, while the sum is 25.

The spelling of 10200123133009 in words is "ten trillion, two hundred billion, one hundred twenty-three million, one hundred thirty-three thousand, nine".