2102222000000 has 224 divisors, whose sum is σ = 5270384100720. Its totient is φ = 835200000000.

The previous prime is 2102221999991. The next prime is 2102222000107. The reversal of 2102222000000 is 2222012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 301996520 + ... + 302003480.

Almost surely, 2^{2102222000000} is an apocalyptic number.

2102222000000 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 2102222000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2635192050360).

2102222000000 is an abundant number, since it is smaller than the sum of its proper divisors (3168162100720).

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

2102222000000 is an frugal number, since it uses more digits than its factorization.

2102222000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7156 (or 7119 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 2102222000000 its reverse (2222012), we get a palindrome (2102224222012).

The spelling of 2102222000000 in words is "two trillion, one hundred two billion, two hundred twenty-two million", and thus it is an aban number.