212112010112101 has 64 divisors (see below), whose sum is σ = 237687363809280. Its totient is φ = 187681248000000.

The previous prime is 212112010112099. The next prime is 212112010112131. The reversal of 212112010112101 is 101211010211212.

It is a cyclic number.

It is not a de Polignac number, because 212112010112101 - 2¹ = 212112010112099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212112010112131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10739294976 + ... + 10739314726.

It is an arithmetic number, because the mean of its divisors is an integer number (3713865059520).

Almost surely, 2^{212112010112101} is an apocalyptic number.

It is an amenable number.

212112010112101 is a deficient number, since it is larger than the sum of its proper divisors (25575353697179).

212112010112101 is a wasteful number, since it uses less digits than its factorization.

212112010112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20626.

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

Adding to 212112010112101 its reverse (101211010211212), we get a palindrome (313323020323313).

It can be divided in two parts, 2121120 and 10112101, that added together give a palindrome (12233221).

The spelling of 212112010112101 in words is "two hundred twelve trillion, one hundred twelve billion, ten million, one hundred twelve thousand, one hundred one".