2010222000000 has 672 divisors, whose sum is σ = 7481962823400. Its totient is φ = 517440000000.

The previous prime is 2010221999987. The next prime is 2010222000013. The reversal of 2010222000000 is 2220102.

It is an interprime number because it is at equal distance from previous prime (2010221999987) and next prime (2010222000013).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 521998075 + ... + 522001925.

Almost surely, 2^{2010222000000} is an apocalyptic number.

2010222000000 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 2010222000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3740981411700).

2010222000000 is an abundant number, since it is smaller than the sum of its proper divisors (5471740823400).

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

2010222000000 is an frugal number, since it uses more digits than its factorization.

2010222000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3930 (or 3890 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 2010222000000 its reverse (2220102), we get a palindrome (2010224220102).

It can be divided in two parts, 201022 and 2000000, that added together give a palindrome (2201022).

The spelling of 2010222000000 in words is "two trillion, ten billion, two hundred twenty-two million", and thus it is an aban number.