212112223000101 has 32 divisors (see below), whose sum is σ = 321909460266240. Its totient is φ = 137957141606400.

The previous prime is 212112223000099. The next prime is 212112223000133. The reversal of 212112223000101 is 101000322211212.

212112223000101 is a `hidden beast` number, since 21 + 21 + 1 + 222 + 300 + 0 + 101 = 666.

It is not a de Polignac number, because 212112223000101 - 2¹ = 212112223000099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212112223000001) 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, 75852096 + ... + 78598758.

It is an arithmetic number, because the mean of its divisors is an integer number (10059670633320).

Almost surely, 2^{212112223000101} is an apocalyptic number.

It is an amenable number.

212112223000101 is a deficient number, since it is larger than the sum of its proper divisors (109797237266139).

212112223000101 is a wasteful number, since it uses less digits than its factorization.

212112223000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2816474 (or 2816468 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 212112223000101 its reverse (101000322211212), we get a palindrome (313112545211313).

The spelling of 212112223000101 in words is "two hundred twelve trillion, one hundred twelve billion, two hundred twenty-three million, one hundred one", and thus it is an aban number.