20102122222200 has 288 divisors, whose sum is σ = 69348116682000. Its totient is φ = 5214639790080.

The previous prime is 20102122222199. The next prime is 20102122222211. The reversal of 20102122222200 is 222222120102.

20102122222200 is a `hidden beast` number, since 2 + 0 + 10 + 212 + 222 + 220 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 365140276 + ... + 365195324.

Almost surely, 2^{20102122222200} is an apocalyptic number.

20102122222200 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 20102122222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34674058341000).

20102122222200 is an abundant number, since it is smaller than the sum of its proper divisors (49245994459800).

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

20102122222200 is a wasteful number, since it uses less digits than its factorization.

20102122222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60591 (or 60579 counting only the distinct ones).

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

Adding to 20102122222200 its reverse (222222120102), we get a palindrome (20324344342302).

The spelling of 20102122222200 in words is "twenty trillion, one hundred two billion, one hundred twenty-two million, two hundred twenty-two thousand, two hundred".