10033202100 has 144 divisors (see below), whose sum is σ = 29686849920. Its totient is φ = 2615308800.

The previous prime is 10033202093. The next prime is 10033202147. The reversal of 10033202100 is 120233001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4943886 + ... + 4945914.

It is an arithmetic number, because the mean of its divisors is an integer number (206158680).

Almost surely, 2^10033202100 is an apocalyptic number.

10033202100 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 10033202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14843424960).

10033202100 is an abundant number, since it is smaller than the sum of its proper divisors (19653647820).

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

10033202100 is a wasteful number, since it uses less digits than its factorization.

10033202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2410 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10033202100 its reverse (120233001), we get a palindrome (10153435101).

The spelling of 10033202100 in words is "ten billion, thirty-three million, two hundred two thousand, one hundred".