100204334010 has 128 divisors (see below), whose sum is σ = 291738827520. Its totient is φ = 24272352000.

The previous prime is 100204333951. The next prime is 100204334017. The reversal of 100204334010 is 10433402001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100204334017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3851004 + ... + 3876936.

It is an arithmetic number, because the mean of its divisors is an integer number (2279209590).

Almost surely, 2^100204334010 is an apocalyptic number.

100204334010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100204334010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145869413760).

100204334010 is an abundant number, since it is smaller than the sum of its proper divisors (191534493510).

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

100204334010 is a wasteful number, since it uses less digits than its factorization.

100204334010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27261 (or 27255 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 100204334010 its reverse (10433402001), we get a palindrome (110637736011).

The spelling of 100204334010 in words is "one hundred billion, two hundred four million, three hundred thirty-four thousand, ten".