102220103022312 has 128 divisors (see below), whose sum is σ = 279941616552960. Its totient is φ = 30847090053120.

The previous prime is 102220103022253. The next prime is 102220103022361. The reversal of 102220103022312 is 213220301022201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119636488 + ... + 120487880.

It is an arithmetic number, because the mean of its divisors is an integer number (2187043879320).

Almost surely, 2^{102220103022312} is an apocalyptic number.

102220103022312 is a gapful number since it is divisible by the number (12) 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 102220103022312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139970808276480).

102220103022312 is an abundant number, since it is smaller than the sum of its proper divisors (177721513530648).

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

102220103022312 is a wasteful number, since it uses less digits than its factorization.

102220103022312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853303 (or 853299 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 102220103022312 its reverse (213220301022201), we get a palindrome (315440404044513).

The spelling of 102220103022312 in words is "one hundred two trillion, two hundred twenty billion, one hundred three million, twenty-two thousand, three hundred twelve".