212021101000 has 64 divisors (see below), whose sum is σ = 497343366000. Its totient is φ = 84600921600.

The previous prime is 212021100937. The next prime is 212021101001. The reversal of 212021101000 is 101120212.

It can be written as a sum of positive squares in 8 ways, for example, as 3689104644 + 208331996356 = 60738^2 + 456434^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (212021101001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149806 + ... + 668194.

Almost surely, 2^212021101000 is an apocalyptic number.

212021101000 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 212021101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248671683000).

212021101000 is an abundant number, since it is smaller than the sum of its proper divisors (285322265000).

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

212021101000 is a wasteful number, since it uses less digits than its factorization.

212021101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518819 (or 518805 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 212021101000 its reverse (101120212), we get a palindrome (212122221212).

The spelling of 212021101000 in words is "two hundred twelve billion, twenty-one million, one hundred one thousand".