100011011000012 has 24 divisors (see below), whose sum is σ = 203301071544480. Its totient is φ = 42159208383360.

The previous prime is 100011010999993. The next prime is 100011011000023. The reversal of 100011011000012 is 210000110110001.

It is a happy number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 29277226337 + ... + 29277229752.

It is an arithmetic number, because the mean of its divisors is an integer number (8470877981020).

Almost surely, 2^{100011011000012} is an apocalyptic number.

It is an amenable number.

100011011000012 is an abundant number, since it is smaller than the sum of its proper divisors (103290060544468).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100011011000012 is a wasteful number, since it uses less digits than its factorization.

100011011000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58554456161 (or 58554456159 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100011011000012 its reverse (210000110110001), we get a palindrome (310011121110013).

The spelling of 100011011000012 in words is "one hundred trillion, eleven billion, eleven million, twelve", and thus it is an aban number.