221132322331011 has 48 divisors (see below), whose sum is σ = 398661088250880. Its totient is φ = 114998390781120.

The previous prime is 221132322331009. The next prime is 221132322331013. The reversal of 221132322331011 is 110133223231122.

221132322331011 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 3 + 2 + 322 + 331 + 0 + 1 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (221132322331009) and next prime (221132322331013).

It is not a de Polignac number, because 221132322331011 - 2¹ = 221132322331009 is a prime.

It is a super-2 number, since 2×221132322331011² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221132322331013) 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, 1901370271 + ... + 1901486568.

It is an arithmetic number, because the mean of its divisors is an integer number (8305439338560).

Almost surely, 2^{221132322331011} is an apocalyptic number.

221132322331011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

221132322331011 is a deficient number, since it is larger than the sum of its proper divisors (177528765919869).

221132322331011 is a wasteful number, since it uses less digits than its factorization.

221132322331011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3802856936 (or 3802856933 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 221132322331011 its reverse (110133223231122), we get a palindrome (331265545562133).

The spelling of 221132322331011 in words is "two hundred twenty-one trillion, one hundred thirty-two billion, three hundred twenty-two million, three hundred thirty-one thousand, eleven".