211000210012009 has 48 divisors (see below), whose sum is σ = 234219379805712. Its totient is φ = 189931250432000.

The previous prime is 211000210011839. The next prime is 211000210012057. The reversal of 211000210012009 is 900210012000112.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1022808595600 + 209977401416409 = 1011340^2 + 14490597^2 .

It is not a de Polignac number, because 211000210012009 - 2⁹ = 211000210011497 is a prime.

It is a super-2 number, since 2×211000210012009² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211000810012009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12664310139 + ... + 12664326799.

It is an arithmetic number, because the mean of its divisors is an integer number (4879570412619).

Almost surely, 2^{211000210012009} is an apocalyptic number.

It is an amenable number.

211000210012009 is a deficient number, since it is larger than the sum of its proper divisors (23219169793703).

211000210012009 is a wasteful number, since it uses less digits than its factorization.

211000210012009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19290 (or 19279 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 211000210012009 in words is "two hundred eleven trillion, two hundred ten million, twelve thousand, nine".