100111101101012 has 12 divisors (see below), whose sum is σ = 179268715925376. Its totient is φ = 48891467979480.

The previous prime is 100111101100991. The next prime is 100111101101027. The reversal of 100111101101012 is 210101101111001.

It is a happy number.

100111101101012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 100111101100984 and 100111101101002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 291020642564 + ... + 291020642907.

It is an arithmetic number, because the mean of its divisors is an integer number (14939059660448).

Almost surely, 2^{100111101101012} is an apocalyptic number.

It is an amenable number.

100111101101012 is a deficient number, since it is larger than the sum of its proper divisors (79157614824364).

100111101101012 is a wasteful number, since it uses less digits than its factorization.

100111101101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582041285518 (or 582041285516 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 100111101101012 its reverse (210101101111001), we get a palindrome (310212202212013).

The spelling of 100111101101012 in words is "one hundred trillion, one hundred eleven billion, one hundred one million, one hundred one thousand, twelve".