102212100222220 has 96 divisors (see below), whose sum is σ = 231265999577088. Its totient is φ = 37806550121472.

The previous prime is 102212100222217. The next prime is 102212100222227. The reversal of 102212100222220 is 22222001212201.

It is not an unprimeable number, because it can be changed into a prime (102212100222227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2867139 + ... + 14582341.

It is an arithmetic number, because the mean of its divisors is an integer number (2409020828928).

Almost surely, 2^{102212100222220} is an apocalyptic number.

102212100222220 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 102212100222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115632999788544).

102212100222220 is an abundant number, since it is smaller than the sum of its proper divisors (129053899354868).

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

102212100222220 is a wasteful number, since it uses less digits than its factorization.

102212100222220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11715679 (or 11715677 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 102212100222220 its reverse (22222001212201), we get a palindrome (124434101434421).

The spelling of 102212100222220 in words is "one hundred two trillion, two hundred twelve billion, one hundred million, two hundred twenty-two thousand, two hundred twenty".