20212100000 has 72 divisors (see below), whose sum is σ = 49737777516. Its totient is φ = 8084800000.

The previous prime is 20212099979. The next prime is 20212100039. The reversal of 20212100000 is 121202.

It can be written as a sum of positive squares in 6 ways, for example, as 221533456 + 19990566544 = 14884^2 + 141388^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1061 + ... + 201060.

Almost surely, 2^20212100000 is an apocalyptic number.

20212100000 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 20212100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24868888758).

20212100000 is an abundant number, since it is smaller than the sum of its proper divisors (29525677516).

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

20212100000 is an frugal number, since it uses more digits than its factorization.

20212100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202156 (or 202128 counting only the distinct ones).

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

Adding to 20212100000 its reverse (121202), we get a palindrome (20212221202).

The spelling of 20212100000 in words is "twenty billion, two hundred twelve million, one hundred thousand".