211000100000112 has 120 divisors (see below), whose sum is σ = 594077645079360. Its totient is φ = 69909318981120.

The previous prime is 211000100000069. The next prime is 211000100000143. The reversal of 211000100000112 is 211000001000112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 211000100000094 and 211000100000103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10376038 + ... + 23014394.

It is an arithmetic number, because the mean of its divisors is an integer number (4950647042328).

Almost surely, 2^{211000100000112} 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 211000100000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297038822539680).

211000100000112 is an abundant number, since it is smaller than the sum of its proper divisors (383077545079248).

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

211000100000112 is a wasteful number, since it uses less digits than its factorization.

211000100000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12639071 (or 12639062 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 211000100000112 its reverse (211000001000112), we get a palindrome (422000101000224).

The spelling of 211000100000112 in words is "two hundred eleven trillion, one hundred million, one hundred twelve", and thus it is an aban number.