102210021120 has 144 divisors (see below), whose sum is σ = 326919583872. Its totient is φ = 27215400960.

The previous prime is 102210021097. The next prime is 102210021163. The reversal of 102210021120 is 21120012201.

It is a super-3 number, since 3×102210021120³ (a number of 34 digits) contains 333 as substring.

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 = 102210021096 and 102210021105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2603235 + ... + 2642205.

It is an arithmetic number, because the mean of its divisors is an integer number (2270274888).

Almost surely, 2^102210021120 is an apocalyptic number.

102210021120 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 102210021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163459791936).

102210021120 is an abundant number, since it is smaller than the sum of its proper divisors (224709562752).

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

102210021120 is an equidigital number, since it uses as much as digits as its factorization.

102210021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39678 (or 39664 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102210021120 its reverse (21120012201), we get a palindrome (123330033321).

The spelling of 102210021120 in words is "one hundred two billion, two hundred ten million, twenty-one thousand, one hundred twenty".