220102122011200 has 336 divisors, whose sum is σ = 638934523073280. Its totient is φ = 73571291136000.

The previous prime is 220102122011197. The next prime is 220102122011207. The reversal of 220102122011200 is 2110221201022.

It is a happy number.

It is a super-2 number, since 2×220102122011200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (220102122011207) 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, 52670680 + ... + 56695720.

It is an arithmetic number, because the mean of its divisors is an integer number (1901590842480).

Almost surely, 2^{220102122011200} is an apocalyptic number.

220102122011200 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 220102122011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319467261536640).

220102122011200 is an abundant number, since it is smaller than the sum of its proper divisors (418832401062080).

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

220102122011200 is a wasteful number, since it uses less digits than its factorization.

220102122011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4025326 (or 4025311 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 220102122011200 its reverse (2110221201022), we get a palindrome (222212343212222).

The spelling of 220102122011200 in words is "two hundred twenty trillion, one hundred two billion, one hundred twenty-two million, eleven thousand, two hundred".