212000201001 has 6 divisors (see below), whose sum is σ = 306222512570. Its totient is φ = 141333467328.

The previous prime is 212000200963. The next prime is 212000201027. The reversal of 212000201001 is 100102000212.

It can be written as a sum of positive squares in only one way, i.e., 163459298601 + 48540902400 = 404301^2 + 220320^2 .

It is not a de Polignac number, because 212000201001 - 2¹⁷ = 212000069929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 23555577889 = 212000201001 / (2 + 1 + 2 + 0 + 0 + 0 + 2 + 0 + 1 + 0 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212000201201) 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 5 ways as a sum of consecutive naturals, for example, 11777788936 + ... + 11777788953.

Almost surely, 2^212000201001 is an apocalyptic number.

It is an amenable number.

212000201001 is a deficient number, since it is larger than the sum of its proper divisors (94222311569).

212000201001 is a wasteful number, since it uses less digits than its factorization.

212000201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23555577895 (or 23555577892 counting only the distinct ones).

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

Adding to 212000201001 its reverse (100102000212), we get a palindrome (312102201213).

The spelling of 212000201001 in words is "two hundred twelve billion, two hundred one thousand, one".