220122122221100 has 144 divisors (see below), whose sum is σ = 528568666940160. Its totient is φ = 78899866540800.

The previous prime is 220122122221049. The next prime is 220122122221151. The reversal of 220122122221100 is 1122221221022.

220122122221100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (220122122221049) and next prime (220122122221151).

It is a super-2 number, since 2×220122122221100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 37334714 + ... + 42826686.

It is an arithmetic number, because the mean of its divisors is an integer number (3670615742640).

Almost surely, 2^{220122122221100} is an apocalyptic number.

220122122221100 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 220122122221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264284333470080).

220122122221100 is an abundant number, since it is smaller than the sum of its proper divisors (308446544719060).

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

220122122221100 is a wasteful number, since it uses less digits than its factorization.

220122122221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5492520 (or 5492513 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 220122122221100 its reverse (1122221221022), we get a palindrome (221244343442122).

The spelling of 220122122221100 in words is "two hundred twenty trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred twenty-one thousand, one hundred".