211100011122 has 128 divisors (see below), whose sum is σ = 582191382528. Its totient is φ = 49245408000.

The previous prime is 211100011117. The next prime is 211100011163. The reversal of 211100011122 is 221110001112.

It is a junction number, because it is equal to n+sod(n) for n = 211100011098 and 211100011107.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 252754 + ... + 697197.

It is an arithmetic number, because the mean of its divisors is an integer number (4548370176).

Almost surely, 2^211100011122 is an apocalyptic number.

211100011122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

211100011122 is an abundant number, since it is smaller than the sum of its proper divisors (371091371406).

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

211100011122 is a wasteful number, since it uses less digits than its factorization.

211100011122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950024.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 211100011122 its reverse (221110001112), we get a palindrome (432210012234).

It can be divided in two parts, 21110001112 and 2, that multiplied together give a palindrome (42220002224).

The spelling of 211100011122 in words is "two hundred eleven billion, one hundred million, eleven thousand, one hundred twenty-two".