20102212102200 has 48 divisors (see below), whose sum is σ = 62316857518680. Its totient is φ = 5360589893760.

The previous prime is 20102212102177. The next prime is 20102212102207. The reversal of 20102212102200 is 220121220102.

It is a super-2 number, since 2×20102212102200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20102212102200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20102212102207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16751842819 + ... + 16751844018.

Almost surely, 2^{20102212102200} is an apocalyptic number.

20102212102200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20102212102200 is an abundant number, since it is smaller than the sum of its proper divisors (42214645416480).

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

20102212102200 is a wasteful number, since it uses less digits than its factorization.

20102212102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33503686856 (or 33503686847 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20102212102200 its reverse (220121220102), we get a palindrome (20322333322302).

The spelling of 20102212102200 in words is "twenty trillion, one hundred two billion, two hundred twelve million, one hundred two thousand, two hundred".