220102213122 has 96 divisors (see below), whose sum is σ = 530304076224. Its totient is φ = 65413929600.

The previous prime is 220102213091. The next prime is 220102213127. The reversal of 220102213122 is 221312201022.

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 = 220102213095 and 220102213104.

It is not an unprimeable number, because it can be changed into a prime (220102213127) 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, 4164808 + ... + 4217324.

It is an arithmetic number, because the mean of its divisors is an integer number (5524000794).

Almost surely, 2^220102213122 is an apocalyptic number.

220102213122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 220102213122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265152038112).

220102213122 is an abundant number, since it is smaller than the sum of its proper divisors (310201863102).

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

220102213122 is a wasteful number, since it uses less digits than its factorization.

220102213122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52944 (or 52941 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 220102213122 its reverse (221312201022), we get a palindrome (441414414144).

It can be divided in two parts, 2201022 and 13122, that added together give a square (2214144 = 1488²).

The spelling of 220102213122 in words is "two hundred twenty billion, one hundred two million, two hundred thirteen thousand, one hundred twenty-two".