1002024100 has 144 divisors (see below), whose sum is σ = 2729825280. Its totient is φ = 310147200.

The previous prime is 1002024097. The next prime is 1002024113. The reversal of 1002024100 is 14202001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1377937 + ... + 1378663.

It is an arithmetic number, because the mean of its divisors is an integer number (18957120).

Almost surely, 2^1002024100 is an apocalyptic number.

1002024100 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 1002024100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364912640).

1002024100 is an abundant number, since it is smaller than the sum of its proper divisors (1727801180).

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

1002024100 is a wasteful number, since it uses less digits than its factorization.

1002024100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1002024100 is about 31654.7642543741. The cubic root of 1002024100 is about 1000.6742452911.

Adding to 1002024100 its reverse (14202001), we get a palindrome (1016226101).

The spelling of 1002024100 in words is "one billion, two million, twenty-four thousand, one hundred".