102212000002200 has 96 divisors (see below), whose sum is σ = 345662400029760. Its totient is φ = 24778666665600.

The previous prime is 102212000002163. The next prime is 102212000002207. The reversal of 102212000002200 is 2200000212201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212000002207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7743326734 + ... + 7743339933.

It is an arithmetic number, because the mean of its divisors is an integer number (3600650000310).

Almost surely, 2^{102212000002200} is an apocalyptic number.

102212000002200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212000002200 is an abundant number, since it is smaller than the sum of its proper divisors (243450400027560).

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

102212000002200 is a wasteful number, since it uses less digits than its factorization.

102212000002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15486666697 (or 15486666688 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102212000002200 its reverse (2200000212201), we get a palindrome (104412000214401).

The spelling of 102212000002200 in words is "one hundred two trillion, two hundred twelve billion, two thousand, two hundred".