4022100 has 108 divisors (see below), whose sum is σ = 13033020. Its totient is φ = 1036800.

The previous prime is 4022099. The next prime is 4022101. The reversal of 4022100 is 12204.

It is an interprime number because it is at equal distance from previous prime (4022099) and next prime (4022101).

It can be written as a sum of positive squares in 6 ways, for example, as 404496 + 3617604 = 636^2 + 1902^2 .

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

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4022101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36846 + ... + 36954.

Almost surely, 2^4022100 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 4022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6516510).

4022100 is an abundant number, since it is smaller than the sum of its proper divisors (9010920).

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

4022100 is a wasteful number, since it uses less digits than its factorization.

4022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 160 counting only the distinct ones).

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

The square root of 4022100 is about 2005.5173896030. The cubic root of 4022100 is about 159.0319147992.

Adding to 4022100 its reverse (12204), we get a palindrome (4034304).

The spelling of 4022100 in words is "four million, twenty-two thousand, one hundred".