121022121100100 has 72 divisors (see below), whose sum is σ = 286494588672768. Its totient is φ = 44007702716800.

The previous prime is 121022121100087. The next prime is 121022121100129. The reversal of 121022121100100 is 1001121220121.

121022121100100 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173785802 + ... + 174480798.

It is an arithmetic number, because the mean of its divisors is an integer number (3979091509344).

Almost surely, 2^{121022121100100} is an apocalyptic number.

121022121100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121022121100100 is an abundant number, since it is smaller than the sum of its proper divisors (165472467572668).

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

121022121100100 is a wasteful number, since it uses less digits than its factorization.

121022121100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853325 (or 853318 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 121022121100100 its reverse (1001121220121), we get a palindrome (122023242320221).

The spelling of 121022121100100 in words is "one hundred twenty-one trillion, twenty-two billion, one hundred twenty-one million, one hundred thousand, one hundred".