20212001000 has 32 divisors (see below), whose sum is σ = 47296084680. Its totient is φ = 8084800000.

The previous prime is 20212000993. The next prime is 20212001003. The reversal of 20212001000 is 10021202.

It can be written as a sum of positive squares in 4 ways, for example, as 1307400964 + 18904600036 = 36158^2 + 137494^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (20212001003) 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 7 ways as a sum of consecutive naturals, for example, 10105001 + ... + 10107000.

Almost surely, 2^20212001000 is an apocalyptic number.

20212001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20212001000 is an abundant number, since it is smaller than the sum of its proper divisors (27084083680).

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

20212001000 is a wasteful number, since it uses less digits than its factorization.

20212001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20212022 (or 20212008 counting only the distinct ones).

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

Adding to 20212001000 its reverse (10021202), we get a palindrome (20222022202).

The spelling of 20212001000 in words is "twenty billion, two hundred twelve million, one thousand".