2121112102200 has 192 divisors, whose sum is σ = 8092858690560. Its totient is φ = 447531333120.

The previous prime is 2121112102177. The next prime is 2121112102231. The reversal of 2121112102200 is 22012111212.

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 2121112102200.

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, 19369504 + ... + 19478703.

It is an arithmetic number, because the mean of its divisors is an integer number (42150305680).

Almost surely, 2^{2121112102200} is an apocalyptic number.

2121112102200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121112102200 is an abundant number, since it is smaller than the sum of its proper divisors (5971746588360).

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

2121112102200 is a wasteful number, since it uses less digits than its factorization.

2121112102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38848246 (or 38848237 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2121112102200 its reverse (22012111212), we get a palindrome (2143124213412).

The spelling of 2121112102200 in words is "two trillion, one hundred twenty-one billion, one hundred twelve million, one hundred two thousand, two hundred".