100002302013100 has 144 divisors (see below), whose sum is σ = 224634462474240. Its totient is φ = 38601887270400.

The previous prime is 100002302013077. The next prime is 100002302013151. The reversal of 100002302013100 is 1310203200001.

It is a super-2 number, since 2×100002302013100² (a number of 29 digits) contains 22 as substring.

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, 3908922909 + ... + 3908948491.

It is an arithmetic number, because the mean of its divisors is an integer number (1559961544960).

Almost surely, 2^{100002302013100} is an apocalyptic number.

100002302013100 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 100002302013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112317231237120).

100002302013100 is an abundant number, since it is smaller than the sum of its proper divisors (124632160461140).

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

100002302013100 is a wasteful number, since it uses less digits than its factorization.

100002302013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29120 (or 29113 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 100002302013100 its reverse (1310203200001), we get a palindrome (101312505213101).

The spelling of 100002302013100 in words is "one hundred trillion, two billion, three hundred two million, thirteen thousand, one hundred".