102222221220 has 324 divisors, whose sum is σ = 373592284884. Its totient is φ = 22557749760.

The previous prime is 102222221207. The next prime is 102222221261. The reversal of 102222221220 is 22122222201.

102222221220 is a `hidden beast` number, since 1 + 0 + 2 + 222 + 221 + 220 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 11573604 + 102210647616 = 3402^2 + 319704^2 .

It is a super-2 number, since 2×102222221220² (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 = 102222221193 and 102222221202.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 7410730 + ... + 7424510.

Almost surely, 2^102222221220 is an apocalyptic number.

102222221220 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 102222221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186796142442).

102222221220 is an abundant number, since it is smaller than the sum of its proper divisors (271370063664).

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

102222221220 is a wasteful number, since it uses less digits than its factorization.

102222221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13868 (or 13827 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 102222221220 its reverse (22122222201), we get a palindrome (124344443421).

The spelling of 102222221220 in words is "one hundred two billion, two hundred twenty-two million, two hundred twenty-one thousand, two hundred twenty".