4002100200 has 576 divisors, whose sum is σ = 16118968320. Its totient is φ = 870912000.

The previous prime is 4002100187. The next prime is 4002100351. The reversal of 4002100200 is 20012004.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31512537 + ... + 31512663.

It is an arithmetic number, because the mean of its divisors is an integer number (27984320).

Almost surely, 2^4002100200 is an apocalyptic number.

4002100200 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 4002100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8059484160).

4002100200 is an abundant number, since it is smaller than the sum of its proper divisors (12116868120).

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

4002100200 is a wasteful number, since it uses less digits than its factorization.

4002100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 4002100200 is about 63262.1545633722. The cubic root of 4002100200 is about 1587.6788249997.

Adding to 4002100200 its reverse (20012004), we get a palindrome (4022112204).

The spelling of 4002100200 in words is "four billion, two million, one hundred thousand, two hundred".