220102101112122 has 96 divisors (see below), whose sum is σ = 480743105536512. Its totient is φ = 72776135873952.

The previous prime is 220102101112067. The next prime is 220102101112123. The reversal of 220102101112122 is 221211101201022.

220102101112122 is a `hidden beast` number, since 220 + 1 + 0 + 210 + 1 + 112 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220102101112095 and 220102101112104.

It is not an unprimeable number, because it can be changed into a prime (220102101112123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15826706293 + ... + 15826720199.

It is an arithmetic number, because the mean of its divisors is an integer number (5007740682672).

Almost surely, 2^{220102101112122} is an apocalyptic number.

220102101112122 is an abundant number, since it is smaller than the sum of its proper divisors (260641004424390).

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

220102101112122 is a wasteful number, since it uses less digits than its factorization.

220102101112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24672 (or 24669 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 220102101112122 its reverse (221211101201022), we get a palindrome (441313202313144).

The spelling of 220102101112122 in words is "two hundred twenty trillion, one hundred two billion, one hundred one million, one hundred twelve thousand, one hundred twenty-two".