121011221331 has 96 divisors (see below), whose sum is σ = 247040801280. Its totient is φ = 54973209600.

The previous prime is 121011221321. The next prime is 121011221341. The reversal of 121011221331 is 133122110121.

121011221331 is a `hidden beast` number, since 1 + 210 + 1 + 122 + 1 + 331 = 666.

It is an interprime number because it is at equal distance from previous prime (121011221321) and next prime (121011221341).

It is not a de Polignac number, because 121011221331 - 2¹¹ = 121011219283 is a prime.

It is a super-2 number, since 2×121011221331² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121011221321) 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 95 ways as a sum of consecutive naturals, for example, 182310 + ... + 524651.

It is an arithmetic number, because the mean of its divisors is an integer number (2573341680).

Almost surely, 2^121011221331 is an apocalyptic number.

121011221331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

121011221331 is an abundant number, since it is smaller than the sum of its proper divisors (126029579949).

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

121011221331 is a wasteful number, since it uses less digits than its factorization.

121011221331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707017 (or 707014 counting only the distinct ones).

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

Adding to 121011221331 its reverse (133122110121), we get a palindrome (254133331452).

The spelling of 121011221331 in words is "one hundred twenty-one billion, eleven million, two hundred twenty-one thousand, three hundred thirty-one".