20102012102200 has 48 divisors (see below), whose sum is σ = 53413917875280. Its totient is φ = 6892118434560.

The previous prime is 20102012102173. The next prime is 20102012102239. The reversal of 20102012102200 is 220121020102.

It is a happy number.

It is a super-4 number, since 4×20102012102200⁴ (a number of 54 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7179288637 + ... + 7179291436.

It is an arithmetic number, because the mean of its divisors is an integer number (1112789955735).

Almost surely, 2^{20102012102200} is an apocalyptic number.

20102012102200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20102012102200 is an abundant number, since it is smaller than the sum of its proper divisors (33311905773080).

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

20102012102200 is a wasteful number, since it uses less digits than its factorization.

20102012102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14358580096 (or 14358580087 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20102012102200 its reverse (220121020102), we get a palindrome (20322133122302).

The spelling of 20102012102200 in words is "twenty trillion, one hundred two billion, twelve million, one hundred two thousand, two hundred".