21314041101 has 24 divisors (see below), whose sum is σ = 31551092664. Its totient is φ = 13856970240.

The previous prime is 21314041093. The next prime is 21314041153. The reversal of 21314041101 is 10114041312.

21314041101 is a `hidden beast` number, since 213 + 1 + 40 + 411 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8259876 + 21305781225 = 2874^2 + 145965^2 .

It is not a de Polignac number, because 21314041101 - 2³ = 21314041093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21314041501) 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 23 ways as a sum of consecutive naturals, for example, 977025 + ... + 998601.

It is an arithmetic number, because the mean of its divisors is an integer number (1314628861).

Almost surely, 2^21314041101 is an apocalyptic number.

It is an amenable number.

21314041101 is a deficient number, since it is larger than the sum of its proper divisors (10237051563).

21314041101 is a wasteful number, since it uses less digits than its factorization.

21314041101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24301 (or 24298 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 21314041101 its reverse (10114041312), we get a palindrome (31428082413).

The spelling of 21314041101 in words is "twenty-one billion, three hundred fourteen million, forty-one thousand, one hundred one".