21132331101 has 48 divisors (see below), whose sum is σ = 35485457280. Its totient is φ = 11869545600.

The previous prime is 21132331093. The next prime is 21132331127. The reversal of 21132331101 is 10113323112.

21132331101 is a `hidden beast` number, since 211 + 323 + 31 + 101 = 666.

It is not a de Polignac number, because 21132331101 - 2³ = 21132331093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21132332101) 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 47 ways as a sum of consecutive naturals, for example, 872511 + ... + 896403.

It is an arithmetic number, because the mean of its divisors is an integer number (739280360).

Almost surely, 2^21132331101 is an apocalyptic number.

21132331101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21132331101 is a deficient number, since it is larger than the sum of its proper divisors (14353126179).

21132331101 is a wasteful number, since it uses less digits than its factorization.

21132331101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24146 (or 24143 counting only the distinct ones).

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

Adding to 21132331101 its reverse (10113323112), we get a palindrome (31245654213).

The spelling of 21132331101 in words is "twenty-one billion, one hundred thirty-two million, three hundred thirty-one thousand, one hundred one".