211100001112 has 192 divisors, whose sum is σ = 541981873440. Its totient is φ = 75772569600.

The previous prime is 211100001109. The next prime is 211100001131.

211100001112 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31219812 + ... + 31226572.

Almost surely, 2^211100001112 is an apocalyptic number.

211100001112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211100001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270990936720).

211100001112 is an abundant number, since it is smaller than the sum of its proper divisors (330881872328).

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

211100001112 is a wasteful number, since it uses less digits than its factorization.

211100001112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7362 (or 7351 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

It can be divided in two parts, 21110000 and 1112, that added together give a palindrome (21111112).

The spelling of 211100001112 in words is "two hundred eleven billion, one hundred million, one thousand, one hundred twelve".