10002100 has 36 divisors (see below), whose sum is σ = 22459500. Its totient is φ = 3861760.

The previous prime is 10002077. The next prime is 10002121. The reversal of 10002100 is 120001.

10002100 = T₈₁₆ + T₈₁₇ + ... + T₈₄₄.

10002100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2184484 + 7817616 = 1478^2 + 2796^2 .

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 10002100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1176 + ... + 4624.

It is an arithmetic number, because the mean of its divisors is an integer number (623875).

Almost surely, 2^10002100 is an apocalyptic number.

10002100 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 10002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11229750).

10002100 is an abundant number, since it is smaller than the sum of its proper divisors (12457400).

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

10002100 is a wasteful number, since it uses less digits than its factorization.

10002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3492 (or 3485 counting only the distinct ones).

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

The square root of 10002100 is about 3162.6096818925. The cubic root of 10002100 is about 215.4585489905.

Adding to 10002100 its reverse (120001), we get a palindrome (10122101).

The spelling of 10002100 in words is "ten million, two thousand, one hundred".