1002450542100 has 288 divisors, whose sum is σ = 3339761408256. Its totient is φ = 227407564800.

The previous prime is 1002450542089. The next prime is 1002450542101. The reversal of 1002450542100 is 12450542001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002450542101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 488284674 + ... + 488286726.

Almost surely, 2^{1002450542100} is an apocalyptic number.

1002450542100 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 1002450542100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669880704128).

1002450542100 is an abundant number, since it is smaller than the sum of its proper divisors (2337310866156).

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

1002450542100 is a wasteful number, since it uses less digits than its factorization.

1002450542100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3715 (or 3708 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Subtracting from 1002450542100 its reverse (12450542001), we obtain a palindrome (990000000099).

The spelling of 1002450542100 in words is "one trillion, two billion, four hundred fifty million, five hundred forty-two thousand, one hundred".