2010022211200 has 96 divisors (see below), whose sum is σ = 4980119739660. Its totient is φ = 801622671360.

The previous prime is 2010022211159. The next prime is 2010022211201. The reversal of 2010022211200 is 21122200102.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 349697187904 + 1660325023296 = 591352^2 + 1288536^2 .

It is not an unprimeable number, because it can be changed into a prime (2010022211201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146454 + ... + 2010346.

Almost surely, 2^{2010022211200} is an apocalyptic number.

2010022211200 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 2010022211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490059869830).

2010022211200 is an abundant number, since it is smaller than the sum of its proper divisors (2970097528460).

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

2010022211200 is a wasteful number, since it uses less digits than its factorization.

2010022211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1864254 (or 1864237 counting only the distinct ones).

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

Adding to 2010022211200 its reverse (21122200102), we get a palindrome (2031144411302).

It can be divided in two parts, 2010022 and 211200, that added together give a palindrome (2221222).

The spelling of 2010022211200 in words is "two trillion, ten billion, twenty-two million, two hundred eleven thousand, two hundred".