21100312031301 has 12 divisors (see below), whose sum is σ = 31221599916780. Its totient is φ = 13723780182720.

The previous prime is 21100312031297. The next prime is 21100312031311. The reversal of 21100312031301 is 10313021300112.

21100312031301 is a `hidden beast` number, since 21 + 1 + 0 + 0 + 312 + 0 + 31 + 301 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1389828788100 + 19710483243201 = 1178910^2 + 4439649^2 .

It is not a de Polignac number, because 21100312031301 - 2² = 21100312031297 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21100312031311) 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, 28591208346 + ... + 28591209083.

It is an arithmetic number, because the mean of its divisors is an integer number (2601799993065).

Almost surely, 2^{21100312031301} is an apocalyptic number.

It is an amenable number.

21100312031301 is a deficient number, since it is larger than the sum of its proper divisors (10121287885479).

21100312031301 is a wasteful number, since it uses less digits than its factorization.

21100312031301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57182417476 (or 57182417473 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 21100312031301 its reverse (10313021300112), we get a palindrome (31413333331413).

The spelling of 21100312031301 in words is "twenty-one trillion, one hundred billion, three hundred twelve million, thirty-one thousand, three hundred one".