2102123212200 has 2304 divisors, whose sum is σ = 9265806950400. Its totient is φ = 419696640000.

The previous prime is 2102123212171. The next prime is 2102123212247. The reversal of 2102123212200 is 22123212012.

2102123212200 is a `hidden beast` number, since 210 + 2 + 1 + 232 + 1 + 220 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 4559919970 + ... + 4559920430.

It is an arithmetic number, because the mean of its divisors is an integer number (4021617600).

Almost surely, 2^{2102123212200} is an apocalyptic number.

2102123212200 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 2102123212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4632903475200).

2102123212200 is an abundant number, since it is smaller than the sum of its proper divisors (7163683738200).

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

2102123212200 is a wasteful number, since it uses less digits than its factorization.

2102123212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2102123212200 its reverse (22123212012), we get a palindrome (2124246424212).

The spelling of 2102123212200 in words is "two trillion, one hundred two billion, one hundred twenty-three million, two hundred twelve thousand, two hundred".