100133002000 has 80 divisors (see below), whose sum is σ = 254864937600. Its totient is φ = 37945123200.

The previous prime is 100133001953. The next prime is 100133002001. The reversal of 100133002000 is 200331001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (100133002001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1279540 + ... + 1355539.

It is an arithmetic number, because the mean of its divisors is an integer number (3185811720).

Almost surely, 2^100133002000 is an apocalyptic number.

100133002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100133002000 is an abundant number, since it is smaller than the sum of its proper divisors (154731935600).

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

100133002000 is a wasteful number, since it uses less digits than its factorization.

100133002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2635121 (or 2635105 counting only the distinct ones).

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

Adding to 100133002000 its reverse (200331001), we get a palindrome (100333333001).

The spelling of 100133002000 in words is "one hundred billion, one hundred thirty-three million, two thousand".