220102102120122 has 96 divisors (see below), whose sum is σ = 491403545785152. Its totient is φ = 71147391558912.

The previous prime is 220102102120099. The next prime is 220102102120171. The reversal of 220102102120122 is 221021201201022.

It is a happy number.

220102102120122 is a `hidden beast` number, since 220 + 1 + 0 + 210 + 212 + 0 + 1 + 22 = 666.

220102102120122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×220102102120122² (a number of 29 digits) contains 22 as substring.

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 = 220102102120095 and 220102102120104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4905634333 + ... + 4905679199.

It is an arithmetic number, because the mean of its divisors is an integer number (5118786935262).

Almost surely, 2^{220102102120122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220102102120122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245701772892576).

220102102120122 is an abundant number, since it is smaller than the sum of its proper divisors (271301443665030).

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

220102102120122 is a wasteful number, since it uses less digits than its factorization.

220102102120122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69212 (or 69209 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 220102102120122 its reverse (221021201201022), we get a palindrome (441123303321144).

The spelling of 220102102120122 in words is "two hundred twenty trillion, one hundred two billion, one hundred two million, one hundred twenty thousand, one hundred twenty-two".