102223221120 has 384 divisors, whose sum is σ = 364299193440. Its totient is φ = 26393444352.

The previous prime is 102223221119. The next prime is 102223221137. The reversal of 102223221120 is 21122322201.

102223221120 is a `hidden beast` number, since 1 + 0 + 222 + 322 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×102223221120² (a number of 23 digits) contains 22 as substring.

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 = 102223221093 and 102223221102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48377184 + ... + 48379296.

Almost surely, 2^102223221120 is an apocalyptic number.

102223221120 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 102223221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182149596720).

102223221120 is an abundant number, since it is smaller than the sum of its proper divisors (262075972320).

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

102223221120 is a wasteful number, since it uses less digits than its factorization.

102223221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2402 (or 2387 counting only the distinct ones).

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

Adding to 102223221120 its reverse (21122322201), we get a palindrome (123345543321).

The spelling of 102223221120 in words is "one hundred two billion, two hundred twenty-three million, two hundred twenty-one thousand, one hundred twenty".