212121102011000 has 1024 divisors, whose sum is σ = 672574289587200. Its totient is φ = 60692889600000.

The previous prime is 212121102010991. The next prime is 212121102011009. The reversal of 212121102011000 is 110201121212.

212121102011000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212121102010991) and next prime (212121102011009).

It is a super-3 number, since 3×212121102011000³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212121102011009) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8837999000 + ... + 8838023000.

It is an arithmetic number, because the mean of its divisors is an integer number (656810829675).

Almost surely, 2^{212121102011000} is an apocalyptic number.

212121102011000 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 212121102011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336287144793600).

212121102011000 is an abundant number, since it is smaller than the sum of its proper divisors (460453187576200).

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

212121102011000 is a wasteful number, since it uses less digits than its factorization.

212121102011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24285 (or 24271 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 212121102011000 its reverse (110201121212), we get a palindrome (212231303132212).

The spelling of 212121102011000 in words is "two hundred twelve trillion, one hundred twenty-one billion, one hundred two million, eleven thousand".