2102200220120 has 256 divisors, whose sum is σ = 6352466964480. Its totient is φ = 604660838400.

The previous prime is 2102200220111. The next prime is 2102200220167. The reversal of 2102200220120 is 210220022012.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2102200220095 and 2102200220104.

It is a congruent number.

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, 259174865 + ... + 259182975.

It is an arithmetic number, because the mean of its divisors is an integer number (24814324080).

Almost surely, 2^{2102200220120} is an apocalyptic number.

2102200220120 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 2102200220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3176233482240).

2102200220120 is an abundant number, since it is smaller than the sum of its proper divisors (4250266744360).

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

2102200220120 is a wasteful number, since it uses less digits than its factorization.

2102200220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14626 (or 14622 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2102200220120 its reverse (210220022012), we get a palindrome (2312420242132).

The spelling of 2102200220120 in words is "two trillion, one hundred two billion, two hundred million, two hundred twenty thousand, one hundred twenty".