212110022010000 has 800 divisors, whose sum is σ = 743269177728000. Its totient is φ = 51945082112000.

The previous prime is 212110022009983. The next prime is 212110022010113. The reversal of 212110022010000 is 10220011212.

It is a super-2 number, since 2×212110022010000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3581760391 + ... + 3581819609.

It is an arithmetic number, because the mean of its divisors is an integer number (929086472160).

Almost surely, 2^{212110022010000} is an apocalyptic number.

212110022010000 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 212110022010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371634588864000).

212110022010000 is an abundant number, since it is smaller than the sum of its proper divisors (531159155718000).

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

212110022010000 is a wasteful number, since it uses less digits than its factorization.

212110022010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59481 (or 59460 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212110022010000 its reverse (10220011212), we get a palindrome (212120242021212).

The spelling of 212110022010000 in words is "two hundred twelve trillion, one hundred ten billion, twenty-two million, ten thousand".