100233113200109 has 16 divisors (see below), whose sum is σ = 106177302842880. Its totient is φ = 94421787775920.

The previous prime is 100233113200039. The next prime is 100233113200133. The reversal of 100233113200109 is 901002311332001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100233113200109 is a prime.

It is a super-2 number, since 2×100233113200109² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100233113200159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1207007 + ... + 14209964.

It is an arithmetic number, because the mean of its divisors is an integer number (6636081427680).

Almost surely, 2^{100233113200109} is an apocalyptic number.

It is an amenable number.

100233113200109 is a deficient number, since it is larger than the sum of its proper divisors (5944189642771).

100233113200109 is a wasteful number, since it uses less digits than its factorization.

100233113200109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15421280.

The product of its (nonzero) digits is 972, while the sum is 26.

The spelling of 100233113200109 in words is "one hundred trillion, two hundred thirty-three billion, one hundred thirteen million, two hundred thousand, one hundred nine".