212202102021000 has 1024 divisors, whose sum is σ = 818311044096000. Its totient is φ = 44582905958400.

The previous prime is 212202102020963. The next prime is 212202102021017. The reversal of 212202102021000 is 120201202212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 83577037731 + ... + 83577040269.

It is an arithmetic number, because the mean of its divisors is an integer number (799131879000).

Almost surely, 2^{212202102021000} is an apocalyptic number.

212202102021000 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 212202102021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409155522048000).

212202102021000 is an abundant number, since it is smaller than the sum of its proper divisors (606108942075000).

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

212202102021000 is a wasteful number, since it uses less digits than its factorization.

212202102021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3759 (or 3745 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 212202102021000 its reverse (120201202212), we get a palindrome (212322303223212).

The spelling of 212202102021000 in words is "two hundred twelve trillion, two hundred two billion, one hundred two million, twenty-one thousand".