100100022009 has 16 divisors (see below), whose sum is σ = 151298280000. Its totient is φ = 58357907136.

The previous prime is 100100022007. The next prime is 100100022017. The reversal of 100100022009 is 900220001001.

It is a happy number.

It is not a de Polignac number, because 100100022009 - 2¹ = 100100022007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100100022007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67543134 + ... + 67544615.

It is an arithmetic number, because the mean of its divisors is an integer number (9456142500).

Almost surely, 2^100100022009 is an apocalyptic number.

100100022009 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

100100022009 is a deficient number, since it is larger than the sum of its proper divisors (51198257991).

100100022009 is a wasteful number, since it uses less digits than its factorization.

100100022009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135087784.

The product of its (nonzero) digits is 36, while the sum is 15.

The spelling of 100100022009 in words is "one hundred billion, one hundred million, twenty-two thousand, nine".