211022111011120 has 20 divisors (see below), whose sum is σ = 490626408101040. Its totient is φ = 84408844404416.

The previous prime is 211022111011111. The next prime is 211022111011123. The reversal of 211022111011120 is 21110111220112.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 211022111011094 and 211022111011103.

It is not an unprimeable number, because it can be changed into a prime (211022111011123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1318888193740 + ... + 1318888193899.

It is an arithmetic number, because the mean of its divisors is an integer number (24531320405052).

Almost surely, 2^{211022111011120} is an apocalyptic number.

211022111011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211022111011120 is an abundant number, since it is smaller than the sum of its proper divisors (279604297089920).

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

211022111011120 is a wasteful number, since it uses less digits than its factorization.

211022111011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2637776387652 (or 2637776387646 counting only the distinct ones).

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

Adding to 211022111011120 its reverse (21110111220112), we get a palindrome (232132222231232).

The spelling of 211022111011120 in words is "two hundred eleven trillion, twenty-two billion, one hundred eleven million, eleven thousand, one hundred twenty".