10100033000 has 128 divisors (see below), whose sum is σ = 24867648000. Its totient is φ = 3833939200.

The previous prime is 10100032981. The next prime is 10100033003. The reversal of 10100033000 is 33000101.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (10100033003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1708049 + ... + 1713951.

It is an arithmetic number, because the mean of its divisors is an integer number (194278500).

Almost surely, 2^10100033000 is an apocalyptic number.

10100033000 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 10100033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12433824000).

10100033000 is an abundant number, since it is smaller than the sum of its proper divisors (14767615000).

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

10100033000 is a wasteful number, since it uses less digits than its factorization.

10100033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6012 (or 5998 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 8.

Adding to 10100033000 its reverse (33000101), we get a palindrome (10133033101).

The spelling of 10100033000 in words is "ten billion, one hundred million, thirty-three thousand".