20122220222100 has 216 divisors, whose sum is σ = 63777793472120. Its totient is φ = 5305974128640.

The previous prime is 20122220222059. The next prime is 20122220222107. The reversal of 20122220222100 is 122202222102.

20122220222100 is a `hidden beast` number, since 2 + 0 + 122 + 220 + 222 + 100 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 24536716164 + 20097683505936 = 156642^2 + 4483044^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122220222107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 100556946 + ... + 100756854.

Almost surely, 2^{20122220222100} is an apocalyptic number.

20122220222100 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 20122220222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31888896736060).

20122220222100 is an abundant number, since it is smaller than the sum of its proper divisors (43655573250020).

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

20122220222100 is a wasteful number, since it uses less digits than its factorization.

20122220222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201179 (or 201169 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20122220222100 its reverse (122202222102), we get a palindrome (20244422444202).

The spelling of 20122220222100 in words is "twenty trillion, one hundred twenty-two billion, two hundred twenty million, two hundred twenty-two thousand, one hundred".