4002100 has 36 divisors (see below), whose sum is σ = 8971648. Its totient is φ = 1548000.

The previous prime is 4002077. The next prime is 4002101. The reversal of 4002100 is 12004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2455 + ... + 3745.

Almost surely, 2^4002100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4485824).

4002100 is an abundant number, since it is smaller than the sum of its proper divisors (4969548).

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

4002100 is a wasteful number, since it uses less digits than its factorization.

4002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 4002100 is about 2000.5249311118. The cubic root of 4002100 is about 158.7678798552.

Adding to 4002100 its reverse (12004), we get a palindrome (4014104).

It can be divided in two parts, 400 and 2100, that added together give a square (2500 = 50²).

The spelling of 4002100 in words is "four million, two thousand, one hundred".