1020100 has 27 divisors (see below), whose sum is σ = 2235751. Its totient is φ = 404000.

The previous prime is 1020079. The next prime is 1020101. The reversal of 1020100 is 10201.

Added to its reverse (10201) it gives a cube (1030301 = 101³).

The square root of 1020100 is 1010.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 188356 + 831744 = 434^2 + 912^2 .

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1020100.

It is not an unprimeable number, because it can be changed into a prime (1020101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10050 + ... + 10150.

2^1020100 is an apocalyptic number.

1020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1020100 is the 1010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020100

1020100 is an abundant number, since it is smaller than the sum of its proper divisors (1215651).

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

1020100 is a wasteful number, since it uses less digits than its factorization.

1020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 108 counting only the distinct ones).

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

The cubic root of 1020100 is about 100.6655604652.

Adding to 1020100 its reverse (10201), we get a palindrome (1030301).

Multiplying 1020100 by its reverse (10201), we get a square (10406040100 = 102010²).

1020100 divided by its reverse (10201) gives a square (100 = 10²).

The spelling of 1020100 in words is "one million, twenty thousand, one hundred".