100010220030 has 384 divisors, whose sum is σ = 313992806400. Its totient is φ = 21607223040.

The previous prime is 100010219923. The next prime is 100010220041. The reversal of 100010220030 is 30022010001.

It is a happy number.

It is a super-2 number, since 2×100010220030² (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 = 100010219994 and 100010220021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 166961671 + ... + 166962269.

It is an arithmetic number, because the mean of its divisors is an integer number (817689600).

Almost surely, 2^100010220030 is an apocalyptic number.

100010220030 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 100010220030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156996403200).

100010220030 is an abundant number, since it is smaller than the sum of its proper divisors (213982586370).

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

100010220030 is a wasteful number, since it uses less digits than its factorization.

100010220030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 100010220030 its reverse (30022010001), we get a palindrome (130032230031).

The spelling of 100010220030 in words is "one hundred billion, ten million, two hundred twenty thousand, thirty".