2106012211667 has 32 divisors (see below), whose sum is σ = 2649175302144. Its totient is φ = 1629603360000.

The previous prime is 2106012211661. The next prime is 2106012211711. The reversal of 2106012211667 is 7661122106012.

It is not a de Polignac number, because 2106012211667 - 2¹⁶ = 2106012146131 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2106012211661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5463542 + ... + 5836292.

It is an arithmetic number, because the mean of its divisors is an integer number (82786728192).

Almost surely, 2^{2106012211667} is an apocalyptic number.

2106012211667 is a deficient number, since it is larger than the sum of its proper divisors (543163090477).

2106012211667 is a wasteful number, since it uses less digits than its factorization.

2106012211667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374139.

The product of its (nonzero) digits is 12096, while the sum is 35.

Adding to 2106012211667 its reverse (7661122106012), we get a palindrome (9767134317679).

The spelling of 2106012211667 in words is "two trillion, one hundred six billion, twelve million, two hundred eleven thousand, six hundred sixty-seven".