212110000112112 has 160 divisors (see below), whose sum is σ = 557649730466304. Its totient is φ = 69454887091200.

The previous prime is 212110000112077. The next prime is 212110000112147. The reversal of 212110000112112 is 211211000011212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (212110000112077) and next prime (212110000112147).

It is a junction number, because it is equal to n+sod(n) for n = 212110000112091 and 212110000112100.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11978869563 + ... + 11978887269.

Almost surely, 2^{212110000112112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212110000112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278824865233152).

212110000112112 is an abundant number, since it is smaller than the sum of its proper divisors (345539730354192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212110000112112 is a wasteful number, since it uses less digits than its factorization.

212110000112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22807 (or 22801 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 212110000112112 its reverse (211211000011212), we get a palindrome (423321000123324).

The spelling of 212110000112112 in words is "two hundred twelve trillion, one hundred ten billion, one hundred twelve thousand, one hundred twelve".