121122111220100 has 72 divisors (see below), whose sum is σ = 274290772392000. Its totient is φ = 46337610858880.

The previous prime is 121122111220067. The next prime is 121122111220181. The reversal of 121122111220100 is 1022111221121.

121122111220100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19721819 + ... + 25123581.

It is an arithmetic number, because the mean of its divisors is an integer number (3809594061000).

Almost surely, 2^{121122111220100} is an apocalyptic number.

121122111220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121122111220100 is an abundant number, since it is smaller than the sum of its proper divisors (153168661171900).

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

121122111220100 is a wasteful number, since it uses less digits than its factorization.

121122111220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5411549 (or 5411542 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 121122111220100 its reverse (1022111221121), we get a palindrome (122144222441221).

The spelling of 121122111220100 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, one hundred eleven million, two hundred twenty thousand, one hundred".