102220120212 has 96 divisors (see below), whose sum is σ = 279195248640. Its totient is φ = 28505727360.

The previous prime is 102220120201. The next prime is 102220120309. The reversal of 102220120212 is 212021022201.

It is a junction number, because it is equal to n+sod(n) for n = 102220120191 and 102220120200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 530137 + ... + 696767.

It is an arithmetic number, because the mean of its divisors is an integer number (2908283840).

Almost surely, 2^102220120212 is an apocalyptic number.

102220120212 is a gapful number since it is divisible by the number (12) 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 102220120212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139597624320).

102220120212 is an abundant number, since it is smaller than the sum of its proper divisors (176975128428).

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

102220120212 is a wasteful number, since it uses less digits than its factorization.

102220120212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166821 (or 166819 counting only the distinct ones).

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

Adding to 102220120212 its reverse (212021022201), we get a palindrome (314241142413).

The spelling of 102220120212 in words is "one hundred two billion, two hundred twenty million, one hundred twenty thousand, two hundred twelve".