2101100322120 has 256 divisors, whose sum is σ = 6822047232000. Its totient is φ = 515940710400.

The previous prime is 2101100322077. The next prime is 2101100322121. The reversal of 2101100322120 is 212230011012.

It is a super-2 number, since 2×2101100322120² (a number of 25 digits) contains 22 as substring.

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 2101100322120.

It is not an unprimeable number, because it can be changed into a prime (2101100322121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25291611 + ... + 25374549.

It is an arithmetic number, because the mean of its divisors is an integer number (26648622000).

Almost surely, 2^{2101100322120} is an apocalyptic number.

2101100322120 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 2101100322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3411023616000).

2101100322120 is an abundant number, since it is smaller than the sum of its proper divisors (4720946909880).

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

2101100322120 is a wasteful number, since it uses less digits than its factorization.

2101100322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83284 (or 83280 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 2101100322120 its reverse (212230011012), we get a palindrome (2313330333132).

The spelling of 2101100322120 in words is "two trillion, one hundred one billion, one hundred million, three hundred twenty-two thousand, one hundred twenty".