210101222120000 has 280 divisors, whose sum is σ = 526398644513280. Its totient is φ = 83167660800000.

The previous prime is 210101222119979. The next prime is 210101222120011. The reversal of 210101222120000 is 21222101012.

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 39 ways as a sum of consecutive naturals, for example, 9045548387 + ... + 9045571613.

It is an arithmetic number, because the mean of its divisors is an integer number (1879995158976).

Almost surely, 2^{210101222120000} is an apocalyptic number.

210101222120000 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 210101222120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263199322256640).

210101222120000 is an abundant number, since it is smaller than the sum of its proper divisors (316297422393280).

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

210101222120000 is a wasteful number, since it uses less digits than its factorization.

210101222120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25599 (or 25574 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 210101222120000 its reverse (21222101012), we get a palindrome (210122444221012).

The spelling of 210101222120000 in words is "two hundred ten trillion, one hundred one billion, two hundred twenty-two million, one hundred twenty thousand".