2202010112000 has 104 divisors (see below), whose sum is σ = 5495547592392. Its totient is φ = 880803840000.

The previous prime is 2202010111991. The next prime is 2202010112011. The reversal of 2202010112000 is 2110102022.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1368408064 + 2200641703936 = 36992^2 + 1483456^2 .

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1638401 + ... + 2662400.

It is an arithmetic number, because the mean of its divisors is an integer number (52841803773).

Almost surely, 2^{2202010112000} is an apocalyptic number.

2202010112000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2202010112000 is an abundant number, since it is smaller than the sum of its proper divisors (3293537480392).

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

2202010112000 is an frugal number, since it uses more digits than its factorization.

2202010112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4300840 (or 4300808 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2202010112000 its reverse (2110102022), we get a palindrome (2204120214022).

The spelling of 2202010112000 in words is "two trillion, two hundred two billion, ten million, one hundred twelve thousand".