111321231100101 has 120 divisors (see below), whose sum is σ = 184743935133912. Its totient is φ = 66745542758400.

The previous prime is 111321231100067. The next prime is 111321231100117. The reversal of 111321231100101 is 101001132123111.

111321231100101 is a `hidden beast` number, since 1 + 1 + 1 + 321 + 231 + 10 + 0 + 101 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19170158883876 + 92151072216225 = 4378374^2 + 9599535^2 .

It is not a de Polignac number, because 111321231100101 - 2⁴¹ = 109122207844549 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111321231100151) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2560205281 + ... + 2560248761.

Almost surely, 2^{111321231100101} is an apocalyptic number.

111321231100101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111321231100101 is a deficient number, since it is larger than the sum of its proper divisors (73422704033811).

111321231100101 is a wasteful number, since it uses less digits than its factorization.

111321231100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46305 (or 46285 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 111321231100101 its reverse (101001132123111), we get a palindrome (212322363223212).

The spelling of 111321231100101 in words is "one hundred eleven trillion, three hundred twenty-one billion, two hundred thirty-one million, one hundred thousand, one hundred one".