100131003210 has 128 divisors (see below), whose sum is σ = 282468754944. Its totient is φ = 22236871680.

The previous prime is 100131003199. The next prime is 100131003211. The reversal of 100131003210 is 12300131001.

100131003210 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (100131003211) 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, 5686620 + ... + 5704200.

It is an arithmetic number, because the mean of its divisors is an integer number (2206787148).

Almost surely, 2^100131003210 is an apocalyptic number.

100131003210 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 100131003210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141234377472).

100131003210 is an abundant number, since it is smaller than the sum of its proper divisors (182337751734).

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

100131003210 is a wasteful number, since it uses less digits than its factorization.

100131003210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18368.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 100131003210 its reverse (12300131001), we get a palindrome (112431134211).

The spelling of 100131003210 in words is "one hundred billion, one hundred thirty-one million, three thousand, two hundred ten".