211122100112 has 240 divisors, whose sum is σ = 547293220992. Its totient is φ = 77860823040.

The previous prime is 211122100027. The next prime is 211122100117. The reversal of 211122100112 is 211001221112.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (211122100117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19234658 + ... + 19245630.

Almost surely, 2^211122100112 is an apocalyptic number.

211122100112 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 211122100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273646610496).

211122100112 is an abundant number, since it is smaller than the sum of its proper divisors (336171120880).

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

211122100112 is a wasteful number, since it uses less digits than its factorization.

211122100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11126 (or 11113 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211122100112 its reverse (211001221112), we get a palindrome (422123321224).

The spelling of 211122100112 in words is "two hundred eleven billion, one hundred twenty-two million, one hundred thousand, one hundred twelve".