211011120121220 has 24 divisors (see below), whose sum is σ = 469189431799704. Its totient is φ = 79439480516096.

The previous prime is 211011120121073. The next prime is 211011120121259. The reversal of 211011120121220 is 22121021110112.

It can be written as a sum of positive squares in 4 ways, for example, as 83718254453824 + 127292865667396 = 9149768^2 + 11282414^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 310310470427 + ... + 310310471106.

It is an arithmetic number, because the mean of its divisors is an integer number (19549559658321).

Almost surely, 2^{211011120121220} is an apocalyptic number.

211011120121220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211011120121220 is an abundant number, since it is smaller than the sum of its proper divisors (258178311678484).

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

211011120121220 is a wasteful number, since it uses less digits than its factorization.

211011120121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620620941559 (or 620620941557 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 211011120121220 its reverse (22121021110112), we get a palindrome (233132141231332).

The spelling of 211011120121220 in words is "two hundred eleven trillion, eleven billion, one hundred twenty million, one hundred twenty-one thousand, two hundred twenty".