211110100001112 has 512 divisors, whose sum is σ = 632495572531200. Its totient is φ = 58092711936000.

The previous prime is 211110100001107. The next prime is 211110100001183. The reversal of 211110100001112 is 211100001011112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2594373787 + ... + 2594455157.

It is an arithmetic number, because the mean of its divisors is an integer number (1235342915100).

Almost surely, 2^{211110100001112} 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 211110100001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316247786265600).

211110100001112 is an abundant number, since it is smaller than the sum of its proper divisors (421385472530088).

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

211110100001112 is a wasteful number, since it uses less digits than its factorization.

211110100001112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81707 (or 81703 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 211110100001112 its reverse (211100001011112), we get a palindrome (422210101012224).

It can be divided in two parts, 21111010000 and 1112, that added together give a palindrome (21111011112).

The spelling of 211110100001112 in words is "two hundred eleven trillion, one hundred ten billion, one hundred million, one thousand, one hundred twelve".