102212322120 has 192 divisors, whose sum is σ = 345625600320. Its totient is φ = 27167042304.

The previous prime is 102212322109. The next prime is 102212322127. The reversal of 102212322120 is 21223212201.

102212322120 is a `hidden beast` number, since 1 + 0 + 221 + 2 + 322 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102212322093 and 102212322102.

It is not an unprimeable number, because it can be changed into a prime (102212322127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2966914 + ... + 3001166.

It is an arithmetic number, because the mean of its divisors is an integer number (1800133335).

Almost surely, 2^102212322120 is an apocalyptic number.

102212322120 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 102212322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172812800160).

102212322120 is an abundant number, since it is smaller than the sum of its proper divisors (243413278200).

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

102212322120 is a wasteful number, since it uses less digits than its factorization.

102212322120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34586 (or 34570 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102212322120 its reverse (21223212201), we get a palindrome (123435534321).

The spelling of 102212322120 in words is "one hundred two billion, two hundred twelve million, three hundred twenty-two thousand, one hundred twenty".