2102121012200 has 384 divisors, whose sum is σ = 5630557121280. Its totient is φ = 723072000000.

The previous prime is 2102121012197. The next prime is 2102121012217. The reversal of 2102121012200 is 22101212012.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 390653510 + ... + 390658890.

It is an arithmetic number, because the mean of its divisors is an integer number (14662909170).

Almost surely, 2^{2102121012200} is an apocalyptic number.

2102121012200 is a gapful number since it is divisible by the number (20) 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 2102121012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2815278560640).

2102121012200 is an abundant number, since it is smaller than the sum of its proper divisors (3528436109080).

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

2102121012200 is a wasteful number, since it uses less digits than its factorization.

2102121012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5581 (or 5572 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2102121012200 its reverse (22101212012), we get a palindrome (2124222224212).

The spelling of 2102121012200 in words is "two trillion, one hundred two billion, one hundred twenty-one million, twelve thousand, two hundred".