212021001000 has 192 divisors, whose sum is σ = 741343309200. Its totient is φ = 54589248000.

The previous prime is 212021000977. The next prime is 212021001011. The reversal of 212021001000 is 100120212.

It can be written as a sum of positive squares in 8 ways, for example, as 408120804 + 211612880196 = 20202^2 + 460014^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145171 + ... + 667170.

Almost surely, 2^212021001000 is an apocalyptic number.

212021001000 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 212021001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370671654600).

212021001000 is an abundant number, since it is smaller than the sum of its proper divisors (529322308200).

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

212021001000 is a wasteful number, since it uses less digits than its factorization.

212021001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812397 (or 812380 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 212021001000 its reverse (100120212), we get a palindrome (212121121212).

The spelling of 212021001000 in words is "two hundred twelve billion, twenty-one million, one thousand".