100210100130 has 320 divisors, whose sum is σ = 315538882560. Its totient is φ = 22343838336.

The previous prime is 100210100113. The next prime is 100210100167. The reversal of 100210100130 is 31001012001.

100210100130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 139373911 + ... + 139374629.

It is an arithmetic number, because the mean of its divisors is an integer number (986059008).

Almost surely, 2^100210100130 is an apocalyptic number.

100210100130 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 100210100130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157769441280).

100210100130 is an abundant number, since it is smaller than the sum of its proper divisors (215328782430).

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

100210100130 is a wasteful number, since it uses less digits than its factorization.

100210100130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 100210100130 its reverse (31001012001), we get a palindrome (131211112131).

The spelling of 100210100130 in words is "one hundred billion, two hundred ten million, one hundred thousand, one hundred thirty".