2100200202120 has 256 divisors, whose sum is σ = 6750502675200. Its totient is φ = 520852766720.

The previous prime is 2100200202059. The next prime is 2100200202131. The reversal of 2100200202120 is 212020020012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2100200202096 and 2100200202105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 406147135 + ... + 406152305.

It is an arithmetic number, because the mean of its divisors is an integer number (26369151075).

Almost surely, 2^{2100200202120} is an apocalyptic number.

2100200202120 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 2100200202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3375251337600).

2100200202120 is an abundant number, since it is smaller than the sum of its proper divisors (4650302473080).

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

2100200202120 is a wasteful number, since it uses less digits than its factorization.

2100200202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7528 (or 7524 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2100200202120 its reverse (212020020012), we get a palindrome (2312220222132).

The spelling of 2100200202120 in words is "two trillion, one hundred billion, two hundred million, two hundred two thousand, one hundred twenty".