2100332101320 has 192 divisors, whose sum is σ = 6920647231680. Its totient is φ = 552353238528.

The previous prime is 2100332101289. The next prime is 2100332101337. The reversal of 2100332101320 is 231012330012.

2100332101320 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 332 + 10 + 1 + 320 = 666.

It is a super-2 number, since 2×2100332101320² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2100332101293 and 2100332101302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16760014 + ... + 16884866.

It is an arithmetic number, because the mean of its divisors is an integer number (36045037665).

Almost surely, 2^{2100332101320} is an apocalyptic number.

2100332101320 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 2100332101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3460323615840).

2100332101320 is an abundant number, since it is smaller than the sum of its proper divisors (4820315130360).

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

2100332101320 is a wasteful number, since it uses less digits than its factorization.

2100332101320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125516 (or 125509 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2100332101320 its reverse (231012330012), we get a palindrome (2331344431332).

The spelling of 2100332101320 in words is "two trillion, one hundred billion, three hundred thirty-two million, one hundred one thousand, three hundred twenty".