2010021122200 has 384 divisors, whose sum is σ = 6117133478400. Its totient is φ = 596060282880.

The previous prime is 2010021122189. The next prime is 2010021122203. The reversal of 2010021122200 is 22211200102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010021122203) 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, 70219491 + ... + 70248109.

It is an arithmetic number, because the mean of its divisors is an integer number (15930035100).

Almost surely, 2^{2010021122200} is an apocalyptic number.

2010021122200 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 2010021122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3058566739200).

2010021122200 is an abundant number, since it is smaller than the sum of its proper divisors (4107112356200).

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

2010021122200 is a wasteful number, since it uses less digits than its factorization.

2010021122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28899 (or 28890 counting only the distinct ones).

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

Adding to 2010021122200 its reverse (22211200102), we get a palindrome (2032232322302).

The spelling of 2010021122200 in words is "two trillion, ten billion, twenty-one million, one hundred twenty-two thousand, two hundred".