10001113200100 has 216 divisors, whose sum is σ = 25044707661120. Its totient is φ = 3457290988800.

The previous prime is 10001113200053. The next prime is 10001113200121. The reversal of 10001113200100 is 100231110001.

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 (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45252666 + ... + 45473134.

Almost surely, 2^{10001113200100} is an apocalyptic number.

10001113200100 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 10001113200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12522353830560).

10001113200100 is an abundant number, since it is smaller than the sum of its proper divisors (15043594461020).

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

10001113200100 is a wasteful number, since it uses less digits than its factorization.

10001113200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220691 (or 220673 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 10001113200100 its reverse (100231110001), we get a palindrome (10101344310101).

The spelling of 10001113200100 in words is "ten trillion, one billion, one hundred thirteen million, two hundred thousand, one hundred".