20110202200000 has 672 divisors, whose sum is σ = 56574878976000. Its totient is φ = 7025856000000.

The previous prime is 20110202199953. The next prime is 20110202200009. The reversal of 20110202200000 is 220201102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 20110202200000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20110202200009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10161799011 + ... + 10161800989.

It is an arithmetic number, because the mean of its divisors is an integer number (84188808000).

Almost surely, 2^{20110202200000} is an apocalyptic number.

20110202200000 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 20110202200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28287439488000).

20110202200000 is an abundant number, since it is smaller than the sum of its proper divisors (36464676776000).

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

20110202200000 is a wasteful number, since it uses less digits than its factorization.

20110202200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2207 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20110202200000 its reverse (220201102), we get a palindrome (20110422401102).

The spelling of 20110202200000 in words is "twenty trillion, one hundred ten billion, two hundred two million, two hundred thousand".