212120012000101 has 16 divisors (see below), whose sum is σ = 217648542219264. Its totient is φ = 206634488566144.

The previous prime is 212120012000069. The next prime is 212120012000123. The reversal of 212120012000101 is 101000210021212.

It is a cyclic number.

It is not a de Polignac number, because 212120012000101 - 2⁵ = 212120012000069 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 (212120012060101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24039915 + ... + 31656871.

It is an arithmetic number, because the mean of its divisors is an integer number (13603033888704).

Almost surely, 2^{212120012000101} is an apocalyptic number.

It is an amenable number.

212120012000101 is a deficient number, since it is larger than the sum of its proper divisors (5528530219163).

212120012000101 is a wasteful number, since it uses less digits than its factorization.

212120012000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7619780.

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

Adding to 212120012000101 its reverse (101000210021212), we get a palindrome (313120222021313).

The spelling of 212120012000101 in words is "two hundred twelve trillion, one hundred twenty billion, twelve million, one hundred one", and thus it is an aban number.