102212022100200 has 96 divisors (see below), whose sum is σ = 320123838471360. Its totient is φ = 26975543961600.

The previous prime is 102212022100157. The next prime is 102212022100207. The reversal of 102212022100200 is 2001220212201.

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 102212022100200.

It is not an unprimeable number, because it can be changed into a prime (102212022100207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 878051956 + ... + 878168355.

It is an arithmetic number, because the mean of its divisors is an integer number (3334623317410).

Almost surely, 2^{102212022100200} is an apocalyptic number.

102212022100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212022100200 is an abundant number, since it is smaller than the sum of its proper divisors (217911816371160).

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

102212022100200 is a wasteful number, since it uses less digits than its factorization.

102212022100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756220427 (or 1756220418 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102212022100200 its reverse (2001220212201), we get a palindrome (104213242312401).

The spelling of 102212022100200 in words is "one hundred two trillion, two hundred twelve billion, twenty-two million, one hundred thousand, two hundred".