20111002200 has 576 divisors, whose sum is σ = 76300473600. Its totient is φ = 4721587200.

The previous prime is 20111002183. The next prime is 20111002201. The reversal of 20111002200 is 220011102.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20111002201) 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 143 ways as a sum of consecutive naturals, for example, 29103855 + ... + 29104545.

It is an arithmetic number, because the mean of its divisors is an integer number (132466100).

Almost surely, 2^20111002200 is an apocalyptic number.

20111002200 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 20111002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38150236800).

20111002200 is an abundant number, since it is smaller than the sum of its proper divisors (56189471400).

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

20111002200 is a wasteful number, since it uses less digits than its factorization.

20111002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20111002200 its reverse (220011102), we get a palindrome (20331013302).

The spelling of 20111002200 in words is "twenty billion, one hundred eleven million, two thousand, two hundred".