102112020220 has 72 divisors (see below), whose sum is σ = 249802600320. Its totient is φ = 34959657600.

The previous prime is 102112020217. The next prime is 102112020221. The reversal of 102112020220 is 22020211201.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 102112020220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112020221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 612661 + ... + 761299.

It is an arithmetic number, because the mean of its divisors is an integer number (3469480560).

Almost surely, 2^102112020220 is an apocalyptic number.

102112020220 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 102112020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124901300160).

102112020220 is an abundant number, since it is smaller than the sum of its proper divisors (147690580100).

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

102112020220 is a wasteful number, since it uses less digits than its factorization.

102112020220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149363 (or 149354 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102112020220 its reverse (22020211201), we get a palindrome (124132231421).

The spelling of 102112020220 in words is "one hundred two billion, one hundred twelve million, twenty thousand, two hundred twenty".