100102221030 has 256 divisors, whose sum is σ = 287583436800. Its totient is φ = 22280194944.

The previous prime is 100102221001. The next prime is 100102221097. The reversal of 100102221030 is 30122201001.

It is a junction number, because it is equal to n+sod(n) for n = 100102220997 and 100102221015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 127194297 + ... + 127195083.

It is an arithmetic number, because the mean of its divisors is an integer number (1123372800).

Almost surely, 2^100102221030 is an apocalyptic number.

100102221030 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 100102221030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143791718400).

100102221030 is an abundant number, since it is smaller than the sum of its proper divisors (187481215770).

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

100102221030 is a wasteful number, since it uses less digits than its factorization.

100102221030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100102221030 its reverse (30122201001), we get a palindrome (130224422031).

The spelling of 100102221030 in words is "one hundred billion, one hundred two million, two hundred twenty-one thousand, thirty".