102122212000220 has 24 divisors (see below), whose sum is σ = 214465579296864. Its totient is φ = 40847183067456.

The previous prime is 102122212000189. The next prime is 102122212000241. The reversal of 102122212000220 is 22000212221201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 105866147 + ... + 106826426.

It is an arithmetic number, because the mean of its divisors is an integer number (8936065804036).

Almost surely, 2^{102122212000220} is an apocalyptic number.

102122212000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122212000220 is an abundant number, since it is smaller than the sum of its proper divisors (112343367296644).

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

102122212000220 is a wasteful number, since it uses less digits than its factorization.

102122212000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212716589 (or 212716587 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 102122212000220 its reverse (22000212221201), we get a palindrome (124122424221421).

The spelling of 102122212000220 in words is "one hundred two trillion, one hundred twenty-two billion, two hundred twelve million, two hundred twenty", and thus it is an aban number.