102212333323100 has 288 divisors, whose sum is σ = 298702225500672. Its totient is φ = 29318889600000.

The previous prime is 102212333323057. The next prime is 102212333323157. The reversal of 102212333323100 is 1323333212201.

It is a super-2 number, since 2×102212333323100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 102212333323100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31590650 + ... + 34675550.

Almost surely, 2^{102212333323100} is an apocalyptic number.

102212333323100 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 102212333323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149351112750336).

102212333323100 is an abundant number, since it is smaller than the sum of its proper divisors (196489892177572).

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

102212333323100 is a wasteful number, since it uses less digits than its factorization.

102212333323100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3085277 (or 3085270 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 102212333323100 its reverse (1323333212201), we get a palindrome (103535666535301).

The spelling of 102212333323100 in words is "one hundred two trillion, two hundred twelve billion, three hundred thirty-three million, three hundred twenty-three thousand, one hundred".