10033101100 has 72 divisors (see below), whose sum is σ = 23973340608. Its totient is φ = 3614260800.

The previous prime is 10033101079. The next prime is 10033101109. The reversal of 10033101100 is 110133001.

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 (10033101109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75079 + ... + 160321.

It is an arithmetic number, because the mean of its divisors is an integer number (332963064).

Almost surely, 2^10033101100 is an apocalyptic number.

10033101100 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 10033101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11986670304).

10033101100 is an abundant number, since it is smaller than the sum of its proper divisors (13940239508).

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

10033101100 is a wasteful number, since it uses less digits than its factorization.

10033101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85375 (or 85368 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 10033101100 its reverse (110133001), we get a palindrome (10143234101).

The spelling of 10033101100 in words is "ten billion, thirty-three million, one hundred one thousand, one hundred".