212121202021000 has 128 divisors (see below), whose sum is σ = 501469984285920. Its totient is φ = 83976240000000.

The previous prime is 212121202020979. The next prime is 212121202021049. The reversal of 212121202021000 is 120202121212.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 13329757188036 + 198791444832964 = 3650994^2 + 14099342^2 .

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 31 ways as a sum of consecutive naturals, for example, 264320350 + ... + 265121650.

Almost surely, 2^{212121202021000} is an apocalyptic number.

212121202021000 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 212121202021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250734992142960).

212121202021000 is an abundant number, since it is smaller than the sum of its proper divisors (289348782264920).

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

212121202021000 is a wasteful number, since it uses less digits than its factorization.

212121202021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804044 (or 804030 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212121202021000 its reverse (120202121212), we get a palindrome (212241404142212).

The spelling of 212121202021000 in words is "two hundred twelve trillion, one hundred twenty-one billion, two hundred two million, twenty-one thousand".