100013010210 has 192 divisors, whose sum is σ = 278881574400. Its totient is φ = 24817798656.

The previous prime is 100013010191. The next prime is 100013010211. The reversal of 100013010210 is 12010310001.

It is a super-2 number, since 2×100013010210² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 100013010192 and 100013010201.

It is not an unprimeable number, because it can be changed into a prime (100013010211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10328151 + ... + 10337829.

It is an arithmetic number, because the mean of its divisors is an integer number (1452508200).

Almost surely, 2^100013010210 is an apocalyptic number.

100013010210 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 100013010210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139440787200).

100013010210 is an abundant number, since it is smaller than the sum of its proper divisors (178868564190).

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

100013010210 is a wasteful number, since it uses less digits than its factorization.

100013010210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9865 (or 9862 counting only the distinct ones).

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

Adding to 100013010210 its reverse (12010310001), we get a palindrome (112023320211).

The spelling of 100013010210 in words is "one hundred billion, thirteen million, ten thousand, two hundred ten".