222120100010120 has 512 divisors, whose sum is σ = 580927818240000. Its totient is φ = 75748068864000.

The previous prime is 222120100010119. The next prime is 222120100010143. The reversal of 222120100010120 is 21010001021222.

It is a junction number, because it is equal to n+sod(n) for n = 222120100010095 and 222120100010104.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 110452559915 + ... + 110452561925.

It is an arithmetic number, because the mean of its divisors is an integer number (1134624645000).

Almost surely, 2^{222120100010120} is an apocalyptic number.

222120100010120 is a gapful number since it is divisible by the number (20) 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 222120100010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290463909120000).

222120100010120 is an abundant number, since it is smaller than the sum of its proper divisors (358807718229880).

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

222120100010120 is a wasteful number, since it uses less digits than its factorization.

222120100010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3645 (or 3641 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 222120100010120 its reverse (21010001021222), we get a palindrome (243130101031342).

The spelling of 222120100010120 in words is "two hundred twenty-two trillion, one hundred twenty billion, one hundred million, ten thousand, one hundred twenty".