20100211200 has 180 divisors, whose sum is σ = 71933519658. Its totient is φ = 5360025600.

The previous prime is 20100211193. The next prime is 20100211223. The reversal of 20100211200 is 211200102.

It can be written as a sum of positive squares in 3 ways, for example, as 13728340224 + 6371870976 = 117168^2 + 79824^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27960 + ... + 202440.

Almost surely, 2^20100211200 is an apocalyptic number.

20100211200 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 20100211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35966759829).

20100211200 is an abundant number, since it is smaller than the sum of its proper divisors (51833308458).

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

20100211200 is a wasteful number, since it uses less digits than its factorization.

20100211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174515 (or 174491 counting only the distinct ones).

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

Adding to 20100211200 its reverse (211200102), we get a palindrome (20311411302).

The spelling of 20100211200 in words is "twenty billion, one hundred million, two hundred eleven thousand, two hundred".