1002410100 has 144 divisors (see below), whose sum is σ = 3412281600. Its totient is φ = 251573760.

The previous prime is 1002410099. The next prime is 1002410159. The reversal of 1002410100 is 10142001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34981 + ... + 56819.

It is an arithmetic number, because the mean of its divisors is an integer number (23696400).

Almost surely, 2^1002410100 is an apocalyptic number.

1002410100 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 1002410100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706140800).

1002410100 is an abundant number, since it is smaller than the sum of its proper divisors (2409871500).

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

1002410100 is a wasteful number, since it uses less digits than its factorization.

1002410100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21879 (or 21866 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1002410100 is about 31660.8606958181. The cubic root of 1002410100 is about 1000.8027221314.

Adding to 1002410100 its reverse (10142001), we get a palindrome (1012552101).

The spelling of 1002410100 in words is "one billion, two million, four hundred ten thousand, one hundred".