102210221120 has 168 divisors, whose sum is σ = 283671797400. Its totient is φ = 34975825920.

The previous prime is 102210221039. The next prime is 102210221149. The reversal of 102210221120 is 21122012201.

It can be written as a sum of positive squares in 4 ways, for example, as 13153337344 + 89056883776 = 114688^2 + 298424^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 102210221095 and 102210221104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8476856 + ... + 8488904.

Almost surely, 2^102210221120 is an apocalyptic number.

102210221120 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 102210221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141835898700).

102210221120 is an abundant number, since it is smaller than the sum of its proper divisors (181461576280).

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

102210221120 is a wasteful number, since it uses less digits than its factorization.

102210221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12621 (or 12604 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102210221120 its reverse (21122012201), we get a palindrome (123332233321).

The spelling of 102210221120 in words is "one hundred two billion, two hundred ten million, two hundred twenty-one thousand, one hundred twenty".