212133001000 has 32 divisors (see below), whose sum is σ = 496391224680. Its totient is φ = 84853200000.

The previous prime is 212133000983. The next prime is 212133001007. The reversal of 212133001000 is 100331212.

It can be written as a sum of positive squares in 4 ways, for example, as 106901533764 + 105231467236 = 326958^2 + 324394^2 .

It is a super-2 number, since 2×212133001000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212133001007) 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, 106065501 + ... + 106067500.

Almost surely, 2^212133001000 is an apocalyptic number.

212133001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212133001000 is an abundant number, since it is smaller than the sum of its proper divisors (284258223680).

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

212133001000 is a wasteful number, since it uses less digits than its factorization.

212133001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212133022 (or 212133008 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 212133001000 its reverse (100331212), we get a palindrome (212233332212).

The spelling of 212133001000 in words is "two hundred twelve billion, one hundred thirty-three million, one thousand".