10020100 has 36 divisors (see below), whose sum is σ = 21989044. Its totient is φ = 3962880.

The previous prime is 10020097. The next prime is 10020103. The reversal of 10020100 is 102001.

It is an interprime number because it is at equal distance from previous prime (10020097) and next prime (10020103).

It can be written as a sum of positive squares in 6 ways, for example, as 173056 + 9847044 = 416^2 + 3138^2 .

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 10020100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020103) 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, 9184 + ... + 10216.

Almost surely, 2^10020100 is an apocalyptic number.

10020100 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 10020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10994522).

10020100 is an abundant number, since it is smaller than the sum of its proper divisors (11968944).

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

10020100 is a wasteful number, since it uses less digits than its factorization.

10020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1137 counting only the distinct ones).

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

The square root of 10020100 is about 3165.4541538301. The cubic root of 10020100 is about 215.5877195227.

Adding to 10020100 its reverse (102001), we get a palindrome (10122101).

The spelling of 10020100 in words is "ten million, twenty thousand, one hundred".