212011012201000 has 32 divisors (see below), whose sum is σ = 496105768552680. Its totient is φ = 84804404880000.

The previous prime is 212011012200959. The next prime is 212011012201003. The reversal of 212011012201000 is 102210110212.

It can be written as a sum of positive squares in 4 ways, for example, as 8652175165764 + 203358837035236 = 2941458^2 + 14260394^2 .

It is not an unprimeable number, because it can be changed into a prime (212011012201003) 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, 106005505101 + ... + 106005507100.

Almost surely, 2^{212011012201000} is an apocalyptic number.

212011012201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212011012201000 is an abundant number, since it is smaller than the sum of its proper divisors (284094756351680).

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

212011012201000 is a wasteful number, since it uses less digits than its factorization.

212011012201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212011012222 (or 212011012208 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 212011012201000 its reverse (102210110212), we get a palindrome (212113222311212).

The spelling of 212011012201000 in words is "two hundred twelve trillion, eleven billion, twelve million, two hundred one thousand".