2010222211200 has 192 divisors, whose sum is σ = 7567051005120. Its totient is φ = 459479347200.

The previous prime is 2010222211051. The next prime is 2010222211201. The reversal of 2010222211200 is 21122220102.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-4 number, since 4×2010222211200⁴ (a number of 50 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2010222211200.

It is not an unprimeable number, because it can be changed into a prime (2010222211201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14889811 + ... + 15024210.

It is an arithmetic number, because the mean of its divisors is an integer number (39411723985).

Almost surely, 2^{2010222211200} is an apocalyptic number.

2010222211200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010222211200 is an abundant number, since it is smaller than the sum of its proper divisors (5556828793920).

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

2010222211200 is a wasteful number, since it uses less digits than its factorization.

2010222211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29914055 (or 29914038 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2010222211200 its reverse (21122220102), we get a palindrome (2031344431302).

The spelling of 2010222211200 in words is "two trillion, ten billion, two hundred twenty-two million, two hundred eleven thousand, two hundred".