2102120220200 has 768 divisors, whose sum is σ = 7044164144640. Its totient is φ = 561364992000.

The previous prime is 2102120220143. The next prime is 2102120220209. The reversal of 2102120220200 is 20220212012.

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

It is not an unprimeable number, because it can be changed into a prime (2102120220209) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 248443970 + ... + 248452430.

It is an arithmetic number, because the mean of its divisors is an integer number (9172088730).

Almost surely, 2^{2102120220200} is an apocalyptic number.

2102120220200 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 2102120220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3522082072320).

2102120220200 is an abundant number, since it is smaller than the sum of its proper divisors (4942043924440).

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

2102120220200 is a wasteful number, since it uses less digits than its factorization.

2102120220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8598 (or 8589 counting only the distinct ones).

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

Adding to 2102120220200 its reverse (20220212012), we get a palindrome (2122340432212).

The spelling of 2102120220200 in words is "two trillion, one hundred two billion, one hundred twenty million, two hundred twenty thousand, two hundred".