121110101111200 has 108 divisors (see below), whose sum is σ = 305505115464150. Its totient is φ = 46881329164800.

The previous prime is 121110101111171. The next prime is 121110101111257. The reversal of 121110101111200 is 2111101011121.

It can be written as a sum of positive squares in 3 ways, for example, as 93972627826704 + 27137473284496 = 9693948^2 + 5209364^2 .

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 17 ways as a sum of consecutive naturals, for example, 77996875 + ... + 79534474.

Almost surely, 2^{121110101111200} is an apocalyptic number.

121110101111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121110101111200 is an abundant number, since it is smaller than the sum of its proper divisors (184395014352950).

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

121110101111200 is a wasteful number, since it uses less digits than its factorization.

121110101111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157531431 (or 157531387 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 121110101111200 its reverse (2111101011121), we get a palindrome (123221202122321).

The spelling of 121110101111200 in words is "one hundred twenty-one trillion, one hundred ten billion, one hundred one million, one hundred eleven thousand, two hundred".