121200021100100 has 36 divisors (see below), whose sum is σ = 263414348650068. Its totient is φ = 48404376576000.

The previous prime is 121200021100063. The next prime is 121200021100117. The reversal of 121200021100100 is 1001120002121.

121200021100100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 15206942553664 + 105993078546436 = 3899608^2 + 10295294^2 .

It is a super-2 number, since 2×121200021100100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 945333881 + ... + 945462080.

Almost surely, 2^{121200021100100} is an apocalyptic number.

121200021100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121200021100100 is an abundant number, since it is smaller than the sum of its proper divisors (142214327549968).

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

121200021100100 is a wasteful number, since it uses less digits than its factorization.

121200021100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890796616 (or 1890796609 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 121200021100100 its reverse (1001120002121), we get a palindrome (122201141102221).

The spelling of 121200021100100 in words is "one hundred twenty-one trillion, two hundred billion, twenty-one million, one hundred thousand, one hundred".