122211101331 has 12 divisors (see below), whose sum is σ = 192575068920. Its totient is φ = 74067334080.

The previous prime is 122211101293. The next prime is 122211101347. The reversal of 122211101331 is 133101112221.

122211101331 is a `hidden beast` number, since 1 + 2 + 221 + 110 + 1 + 331 = 666.

It is not a de Polignac number, because 122211101331 - 2²² = 122206907027 is a prime.

It is a super-2 number, since 2×122211101331² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122211100331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 617227686 + ... + 617227883.

It is an arithmetic number, because the mean of its divisors is an integer number (16047922410).

Almost surely, 2^122211101331 is an apocalyptic number.

122211101331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122211101331 is a deficient number, since it is larger than the sum of its proper divisors (70363967589).

122211101331 is a wasteful number, since it uses less digits than its factorization.

122211101331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234455586 (or 1234455583 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 122211101331 its reverse (133101112221), we get a palindrome (255312213552).

The spelling of 122211101331 in words is "one hundred twenty-two billion, two hundred eleven million, one hundred one thousand, three hundred thirty-one".