121101012111200 has 144 divisors (see below), whose sum is σ = 322585519549104. Its totient is φ = 44026968115200.

The previous prime is 121101012111199. The next prime is 121101012111221. The reversal of 121101012111200 is 2111210101121.

It is a congruent number.

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, 38226302 + ... + 41272898.

It is an arithmetic number, because the mean of its divisors is an integer number (2240177219091).

Almost surely, 2^{121101012111200} is an apocalyptic number.

121101012111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121101012111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161292759774552).

121101012111200 is an abundant number, since it is smaller than the sum of its proper divisors (201484507437904).

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

121101012111200 is a wasteful number, since it uses less digits than its factorization.

121101012111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3051145 (or 3051132 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 121101012111200 its reverse (2111210101121), we get a palindrome (123212222212321).

The spelling of 121101012111200 in words is "one hundred twenty-one trillion, one hundred one billion, twelve million, one hundred eleven thousand, two hundred".