121101221110200 has 192 divisors, whose sum is σ = 377323992576000. Its totient is φ = 32129360524800.

The previous prime is 121101221110147. The next prime is 121101221110223. The reversal of 121101221110200 is 2011122101121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121101221110200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3688607785 + ... + 3688640615.

It is an arithmetic number, because the mean of its divisors is an integer number (1965229128000).

Almost surely, 2^{121101221110200} is an apocalyptic number.

121101221110200 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 121101221110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188661996288000).

121101221110200 is an abundant number, since it is smaller than the sum of its proper divisors (256222771465800).

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

121101221110200 is a wasteful number, since it uses less digits than its factorization.

121101221110200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63942 (or 63933 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 121101221110200 its reverse (2011122101121), we get a palindrome (123112343211321).

The spelling of 121101221110200 in words is "one hundred twenty-one trillion, one hundred one billion, two hundred twenty-one million, one hundred ten thousand, two hundred".