2102122112200 has 96 divisors (see below), whose sum is σ = 5333518632960. Its totient is φ = 764153913600.

The previous prime is 2102122112197. The next prime is 2102122112201. The reversal of 2102122112200 is 22112212012.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2102122112201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6524089 + ... + 6838711.

It is an arithmetic number, because the mean of its divisors is an integer number (55557485760).

Almost surely, 2^{2102122112200} is an apocalyptic number.

2102122112200 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 2102122112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2666759316480).

2102122112200 is an abundant number, since it is smaller than the sum of its proper divisors (3231396520760).

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

2102122112200 is a wasteful number, since it uses less digits than its factorization.

2102122112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317687 (or 317678 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2102122112200 its reverse (22112212012), we get a palindrome (2124234324212).

The spelling of 2102122112200 in words is "two trillion, one hundred two billion, one hundred twenty-two million, one hundred twelve thousand, two hundred".