210001220000000 has 1152 divisors, whose sum is σ = 622530543817728. Its totient is φ = 69696000000000.

The previous prime is 210001219999957. The next prime is 210001220000017. The reversal of 210001220000000 is 22100012.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 288859999637 + ... + 288860000363.

It is an arithmetic number, because the mean of its divisors is an integer number (540391097064).

Almost surely, 2^{210001220000000} is an apocalyptic number.

210001220000000 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 210001220000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311265271908864).

210001220000000 is an abundant number, since it is smaller than the sum of its proper divisors (412529323817728).

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

210001220000000 is an frugal number, since it uses more digits than its factorization.

210001220000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 210001220000000 its reverse (22100012), we get a palindrome (210001242100012).

The spelling of 210001220000000 in words is "two hundred ten trillion, one billion, two hundred twenty million", and thus it is an aban number.