101233133231121 has 12 divisors (see below), whose sum is σ = 146236247738100. Its totient is φ = 67483858172640.

The previous prime is 101233133231119. The next prime is 101233133231137. The reversal of 101233133231121 is 121132331332101.

101233133231121 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 3 + 313 + 32 + 311 + 2 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 71266705525521 + 29966427705600 = 8441961^2 + 5474160^2 .

It is not a de Polignac number, because 101233133231121 - 2¹ = 101233133231119 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101233133231161) 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, 407978646 + ... + 408226703.

It is an arithmetic number, because the mean of its divisors is an integer number (12186353978175).

Almost surely, 2^{101233133231121} is an apocalyptic number.

It is an amenable number.

101233133231121 is a deficient number, since it is larger than the sum of its proper divisors (45003114506979).

101233133231121 is a wasteful number, since it uses less digits than its factorization.

101233133231121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816219136 (or 816219133 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 101233133231121 its reverse (121132331332101), we get a palindrome (222365464563222).

The spelling of 101233133231121 in words is "one hundred one trillion, two hundred thirty-three billion, one hundred thirty-three million, two hundred thirty-one thousand, one hundred twenty-one".