100033000200100 has 144 divisors (see below), whose sum is σ = 241569495812736. Its totient is φ = 35651105280000.

The previous prime is 100033000200079. The next prime is 100033000200139. The reversal of 100033000200100 is 1002000330001.

It is a super-2 number, since 2×100033000200100² (a number of 29 digits) contains 22 as substring.

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 (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6439050 + ... + 15541150.

It is an arithmetic number, because the mean of its divisors is an integer number (1677565943144).

Almost surely, 2^{100033000200100} is an apocalyptic number.

100033000200100 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 100033000200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120784747906368).

100033000200100 is an abundant number, since it is smaller than the sum of its proper divisors (141536495612636).

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

100033000200100 is a wasteful number, since it uses less digits than its factorization.

100033000200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9102326 (or 9102319 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 100033000200100 its reverse (1002000330001), we get a palindrome (101035000530101).

The spelling of 100033000200100 in words is "one hundred trillion, thirty-three billion, two hundred thousand, one hundred".