10033042100 has 72 divisors (see below), whose sum is σ = 22727196408. Its totient is φ = 3840652800.

The previous prime is 10033042073. The next prime is 10033042111. The reversal of 10033042100 is 124033001.

It can be written as a sum of positive squares in 12 ways, for example, as 4982665744 + 5050376356 = 70588^2 + 71066^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203474 + ... + 247926.

Almost surely, 2^10033042100 is an apocalyptic number.

10033042100 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 10033042100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11363598204).

10033042100 is an abundant number, since it is smaller than the sum of its proper divisors (12694154308).

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

10033042100 is a wasteful number, since it uses less digits than its factorization.

10033042100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44565 (or 44558 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10033042100 its reverse (124033001), we get a palindrome (10157075101).

Subtracting from 10033042100 its reverse (124033001), we obtain a palindrome (9909009099).

The spelling of 10033042100 in words is "ten billion, thirty-three million, forty-two thousand, one hundred".