102212210110200 has 192 divisors, whose sum is σ = 333573849609600. Its totient is φ = 25818991833600.

The previous prime is 102212210110187. The next prime is 102212210110247. The reversal of 102212210110200 is 2011012212201.

It is a super-2 number, since 2×102212210110200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102212210110200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97094670 + ... + 98141730.

It is an arithmetic number, because the mean of its divisors is an integer number (1737363800050).

Almost surely, 2^{102212210110200} is an apocalyptic number.

102212210110200 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 102212210110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166786924804800).

102212210110200 is an abundant number, since it is smaller than the sum of its proper divisors (231361639499400).

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

102212210110200 is a wasteful number, since it uses less digits than its factorization.

102212210110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055662 (or 1055653 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102212210110200 its reverse (2011012212201), we get a palindrome (104223222322401).

The spelling of 102212210110200 in words is "one hundred two trillion, two hundred twelve billion, two hundred ten million, one hundred ten thousand, two hundred".