2102122100320 has 288 divisors, whose sum is σ = 5775457010400. Its totient is φ = 720475176960.

The previous prime is 2102122100269. The next prime is 2102122100321. The reversal of 2102122100320 is 230012212012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2102122100294 and 2102122100303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102122100321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72449976 + ... + 72478984.

It is an arithmetic number, because the mean of its divisors is an integer number (20053670175).

Almost surely, 2^{2102122100320} is an apocalyptic number.

2102122100320 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 2102122100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2887728505200).

2102122100320 is an abundant number, since it is smaller than the sum of its proper divisors (3673334910080).

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

2102122100320 is a wasteful number, since it uses less digits than its factorization.

2102122100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29262 (or 29243 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2102122100320 its reverse (230012212012), we get a palindrome (2332134312332).

The spelling of 2102122100320 in words is "two trillion, one hundred two billion, one hundred twenty-two million, one hundred thousand, three hundred twenty".