212100201000 has 160 divisors (see below), whose sum is σ = 741408319080. Its totient is φ = 56560032000.

The previous prime is 212100200969. The next prime is 212100201007. The reversal of 212100201000 is 102001212.

212100201000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 77911323876 + 134188877124 = 279126^2 + 366318^2 .

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

It is not an unprimeable number, because it can be changed into a prime (212100201007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1228261 + ... + 1390260.

Almost surely, 2^212100201000 is an apocalyptic number.

212100201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212100201000 is an abundant number, since it is smaller than the sum of its proper divisors (529308118080).

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

212100201000 is a wasteful number, since it uses less digits than its factorization.

212100201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618554 (or 2618531 counting only the distinct ones).

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

Adding to 212100201000 its reverse (102001212), we get a palindrome (212202202212).

The spelling of 212100201000 in words is "two hundred twelve billion, one hundred million, two hundred one thousand".