4102214022200 has 384 divisors, whose sum is σ = 11582807224320. Its totient is φ = 1320721459200.

The previous prime is 4102214022163. The next prime is 4102214022299. The reversal of 4102214022200 is 22204122014.

4102214022200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1204052897 + ... + 1204056303.

It is an arithmetic number, because the mean of its divisors is an integer number (30163560480).

Almost surely, 2^{4102214022200} is an apocalyptic number.

4102214022200 is a gapful number since it is divisible by the number (40) 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 4102214022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5791403612160).

4102214022200 is an abundant number, since it is smaller than the sum of its proper divisors (7480593202120).

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

4102214022200 is a wasteful number, since it uses less digits than its factorization.

4102214022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4127 (or 4118 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 4102214022200 its reverse (22204122014), we get a palindrome (4124418144214).

The spelling of 4102214022200 in words is "four trillion, one hundred two billion, two hundred fourteen million, twenty-two thousand, two hundred".