1002100 has 36 divisors (see below), whose sum is σ = 2374848. Its totient is φ = 364000.

The previous prime is 1002091. The next prime is 1002101. The reversal of 1002100 is 12001.

1002100 = 158² + 159² + ... + 190².

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a self number, because there is not a number n which added to its sum of digits gives 1002100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 645 + ... + 1555.

It is an arithmetic number, because the mean of its divisors is an integer number (65968).

2^1002100 is an apocalyptic number.

1002100 is a gapful number since it is divisible by the number (10) 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 1002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187424).

1002100 is an abundant number, since it is smaller than the sum of its proper divisors (1372748).

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

1002100 is a wasteful number, since it uses less digits than its factorization.

1002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 1002100 is about 1001.0494493281. The cubic root of 1002100 is about 100.0699510571.

Adding to 1002100 its reverse (12001), we get a palindrome (1014101).

Subtracting from 1002100 its reverse (12001), we obtain a palindrome (990099).

The spelling of 1002100 in words is "one million, two thousand, one hundred".