121112022110100 has 144 divisors (see below), whose sum is σ = 404151188918400. Its totient is φ = 27428777694720.

The previous prime is 121112022110077. The next prime is 121112022110129. The reversal of 121112022110100 is 1011220211121.

It is a happy number.

121112022110100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121112022110100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 264323355 + ... + 264781154.

It is an arithmetic number, because the mean of its divisors is an integer number (2806605478600).

Almost surely, 2^{121112022110100} is an apocalyptic number.

121112022110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121112022110100 is an abundant number, since it is smaller than the sum of its proper divisors (283039166808300).

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

121112022110100 is a wasteful number, since it uses less digits than its factorization.

121112022110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529104642 (or 529104635 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 121112022110100 its reverse (1011220211121), we get a palindrome (122123242321221).

The spelling of 121112022110100 in words is "one hundred twenty-one trillion, one hundred twelve billion, twenty-two million, one hundred ten thousand, one hundred".