212212110000101 has 8 divisors (see below), whose sum is σ = 214420753178904. Its totient is φ = 210005575315200.

The previous prime is 212212110000043. The next prime is 212212110000131. The reversal of 212212110000101 is 101000011212212.

It can be written as a sum of positive squares in 4 ways, for example, as 89233547215201 + 122978562784900 = 9446351^2 + 11089570^2 .

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 212212110000101 - 2²⁶ = 212212042891237 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 (212212110000131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 526921136 + ... + 527323721.

It is an arithmetic number, because the mean of its divisors is an integer number (26802594147363).

Almost surely, 2^{212212110000101} is an apocalyptic number.

It is an amenable number.

212212110000101 is a deficient number, since it is larger than the sum of its proper divisors (2208643178803).

212212110000101 is a wasteful number, since it uses less digits than its factorization.

212212110000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054246951.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 212212110000101 its reverse (101000011212212), we get a palindrome (313212121212313).

The spelling of 212212110000101 in words is "two hundred twelve trillion, two hundred twelve billion, one hundred ten million, one hundred one", and thus it is an aban number.