102222120 has 512 divisors, whose sum is σ = 441262080. Its totient is φ = 18247680.

The previous prime is 102222089. The next prime is 102222149. The reversal of 102222120 is 21222201.

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

It is a junction number, because it is equal to n+sod(n) for n = 102222096 and 102222105.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2762742 + ... + 2762778.

It is an arithmetic number, because the mean of its divisors is an integer number (861840).

Almost surely, 2^102222120 is an apocalyptic number.

102222120 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 102222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220631040).

102222120 is an abundant number, since it is smaller than the sum of its proper divisors (339039960).

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

102222120 is a wasteful number, since it uses less digits than its factorization.

102222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 101 counting only the distinct ones).

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

The square root of 102222120 is about 10110.4955368172. The cubic root of 102222120 is about 467.5717830426.

Adding to 102222120 its reverse (21222201), we get a palindrome (123444321).

It can be divided in two parts, 102 and 222120, that added together give a palindrome (222222).

The spelling of 102222120 in words is "one hundred two million, two hundred twenty-two thousand, one hundred twenty".