102222132111220 has 384 divisors, whose sum is σ = 260816313139200. Its totient is φ = 33228817920000.

The previous prime is 102222132111217. The next prime is 102222132111223. The reversal of 102222132111220 is 22111231222201.

It is an interprime number because it is at equal distance from previous prime (102222132111217) and next prime (102222132111223).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 102222132111191 and 102222132111200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102222132111223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11321529666 + ... + 11321538694.

It is an arithmetic number, because the mean of its divisors is an integer number (679209148800).

Almost surely, 2^{102222132111220} is an apocalyptic number.

102222132111220 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 102222132111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130408156569600).

102222132111220 is an abundant number, since it is smaller than the sum of its proper divisors (158594181027980).

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

102222132111220 is a wasteful number, since it uses less digits than its factorization.

102222132111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11271 (or 11269 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 102222132111220 its reverse (22111231222201), we get a palindrome (124333363333421).

The spelling of 102222132111220 in words is "one hundred two trillion, two hundred twenty-two billion, one hundred thirty-two million, one hundred eleven thousand, two hundred twenty".