212000101127 has 8 divisors (see below), whose sum is σ = 217686468480. Its totient is φ = 206383505400.

The previous prime is 212000101003. The next prime is 212000101129. The reversal of 212000101127 is 721101000212.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 212000101127 - 2¹⁶ = 212000035591 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212000101129) 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, 17436749 + ... + 17448902.

It is an arithmetic number, because the mean of its divisors is an integer number (27210808560).

Almost surely, 2^212000101127 is an apocalyptic number.

212000101127 is a deficient number, since it is larger than the sum of its proper divisors (5686367353).

212000101127 is a wasteful number, since it uses less digits than its factorization.

212000101127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34885813.

The product of its (nonzero) digits is 56, while the sum is 17.

Adding to 212000101127 its reverse (721101000212), we get a palindrome (933101101339).

The spelling of 212000101127 in words is "two hundred twelve billion, one hundred one thousand, one hundred twenty-seven".