102222312101120 has 144 divisors (see below), whose sum is σ = 246245602115520. Its totient is φ = 40656644505600.

The previous prime is 102222312101059. The next prime is 102222312101141. The reversal of 102222312101120 is 21101213222201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 102222312101092 and 102222312101101.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 4749875960 + ... + 4749897480.

It is an arithmetic number, because the mean of its divisors is an integer number (1710038903580).

Almost surely, 2^{102222312101120} is an apocalyptic number.

102222312101120 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 102222312101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123122801057760).

102222312101120 is an abundant number, since it is smaller than the sum of its proper divisors (144023290014400).

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

102222312101120 is a wasteful number, since it uses less digits than its factorization.

102222312101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42452 (or 42438 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 102222312101120 its reverse (21101213222201), we get a palindrome (123323525323321).

The spelling of 102222312101120 in words is "one hundred two trillion, two hundred twenty-two billion, three hundred twelve million, one hundred one thousand, one hundred twenty".