100102212210 has 288 divisors, whose sum is σ = 330822225216. Its totient is φ = 19199980800.

The previous prime is 100102212187. The next prime is 100102212233. The reversal of 100102212210 is 12212201001.

It is an interprime number because it is at equal distance from previous prime (100102212187) and next prime (100102212233).

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 143 ways as a sum of consecutive naturals, for example, 2290665 + ... + 2333955.

It is an arithmetic number, because the mean of its divisors is an integer number (1148688282).

Almost surely, 2^100102212210 is an apocalyptic number.

100102212210 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 100102212210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165411112608).

100102212210 is an abundant number, since it is smaller than the sum of its proper divisors (230720013006).

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

100102212210 is a wasteful number, since it uses less digits than its factorization.

100102212210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43350 (or 43332 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100102212210 its reverse (12212201001), we get a palindrome (112314413211).

The spelling of 100102212210 in words is "one hundred billion, one hundred two million, two hundred twelve thousand, two hundred ten".