102112010220 has 192 divisors, whose sum is σ = 323453684736. Its totient is φ = 23850961920.

The previous prime is 102112010207. The next prime is 102112010233. The reversal of 102112010220 is 22010211201.

It is an interprime number because it is at equal distance from previous prime (102112010207) and next prime (102112010233).

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 = 102112010196 and 102112010205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2494962 + ... + 2535558.

It is an arithmetic number, because the mean of its divisors is an integer number (1684654608).

Almost surely, 2^102112010220 is an apocalyptic number.

102112010220 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 102112010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161726842368).

102112010220 is an abundant number, since it is smaller than the sum of its proper divisors (221341674516).

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

102112010220 is a wasteful number, since it uses less digits than its factorization.

102112010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40760 (or 40758 counting only the distinct ones).

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

Adding to 102112010220 its reverse (22010211201), we get a palindrome (124122221421).

The spelling of 102112010220 in words is "one hundred two billion, one hundred twelve million, ten thousand, two hundred twenty".