102213310100 has 216 divisors, whose sum is σ = 265498111200. Its totient is φ = 33995808000.

The previous prime is 102213310039. The next prime is 102213310117. The reversal of 102213310100 is 1013312201.

102213310100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 6659435 + ... + 6674765.

Almost surely, 2^102213310100 is an apocalyptic number.

102213310100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102213310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132749055600).

102213310100 is an abundant number, since it is smaller than the sum of its proper divisors (163284801100).

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

102213310100 is a wasteful number, since it uses less digits than its factorization.

102213310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15415 (or 15397 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 102213310100 its reverse (1013312201), we get a palindrome (103226622301).

The spelling of 102213310100 in words is "one hundred two billion, two hundred thirteen million, three hundred ten thousand, one hundred".