20202112102200 has 192 divisors, whose sum is σ = 72119559409920. Its totient is φ = 4582376448000.

The previous prime is 20202112102187. The next prime is 20202112102213. The reversal of 20202112102200 is 220121120202.

It is an interprime number because it is at equal distance from previous prime (20202112102187) and next prime (20202112102213).

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 20202112102200.

It is a congruent number.

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, 17808681 + ... + 18909080.

It is an arithmetic number, because the mean of its divisors is an integer number (375622705260).

Almost surely, 2^{20202112102200} is an apocalyptic number.

20202112102200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20202112102200 is an abundant number, since it is smaller than the sum of its proper divisors (51917447307720).

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

20202112102200 is a wasteful number, since it uses less digits than its factorization.

20202112102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36717918 (or 36717909 counting only the distinct ones).

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

Adding to 20202112102200 its reverse (220121120202), we get a palindrome (20422233222402).

The spelling of 20202112102200 in words is "twenty trillion, two hundred two billion, one hundred twelve million, one hundred two thousand, two hundred".