21101131121301 has 80 divisors (see below), whose sum is σ = 39304797143040. Its totient is φ = 10960138213920.

The previous prime is 21101131121293. The next prime is 21101131121491. The reversal of 21101131121301 is 10312113110112.

21101131121301 is a `hidden beast` number, since 2 + 110 + 1 + 131 + 121 + 301 = 666.

It is not a de Polignac number, because 21101131121301 - 2³ = 21101131121293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21101131121501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46470480 + ... + 46922358.

It is an arithmetic number, because the mean of its divisors is an integer number (491309964288).

Almost surely, 2^{21101131121301} is an apocalyptic number.

21101131121301 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21101131121301 is a deficient number, since it is larger than the sum of its proper divisors (18203666021739).

21101131121301 is a wasteful number, since it uses less digits than its factorization.

21101131121301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459396 (or 459387 counting only the distinct ones).

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

Adding to 21101131121301 its reverse (10312113110112), we get a palindrome (31413244231413).

The spelling of 21101131121301 in words is "twenty-one trillion, one hundred one billion, one hundred thirty-one million, one hundred twenty-one thousand, three hundred one".