101100011122120 has 32 divisors (see below), whose sum is σ = 229683520422720. Its totient is φ = 40047383044800.

The previous prime is 101100011122021. The next prime is 101100011122133. The reversal of 101100011122120 is 21221110001101.

It is a happy number.

101100011122120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 101100011122120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12269414706 + ... + 12269422945.

It is an arithmetic number, because the mean of its divisors is an integer number (7177610013210).

Almost surely, 2^{101100011122120} is an apocalyptic number.

101100011122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100011122120 is an abundant number, since it is smaller than the sum of its proper divisors (128583509300600).

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

101100011122120 is a wasteful number, since it uses less digits than its factorization.

101100011122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24538837765 (or 24538837761 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101100011122120 its reverse (21221110001101), we get a palindrome (122321121123221).

The spelling of 101100011122120 in words is "one hundred one trillion, one hundred billion, eleven million, one hundred twenty-two thousand, one hundred twenty".