212001040100212 has 72 divisors (see below), whose sum is σ = 411862355593416. Its totient is φ = 95403200640000.

The previous prime is 212001040100207. The next prime is 212001040100251.

212001040100212 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 95974233662736 + 116026806437476 = 9796644^2 + 10771574^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 719082912 + ... + 719377672.

It is an arithmetic number, because the mean of its divisors is an integer number (5720310494353).

Almost surely, 2^{212001040100212} is an apocalyptic number.

212001040100212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212001040100212 is a deficient number, since it is larger than the sum of its proper divisors (199861315493204).

212001040100212 is a wasteful number, since it uses less digits than its factorization.

212001040100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309601 (or 309588 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The spelling of 212001040100212 in words is "two hundred twelve trillion, one billion, forty million, one hundred thousand, two hundred twelve".