21121132101 has 8 divisors (see below), whose sum is σ = 28195730880. Its totient is φ = 14063644032.

The previous prime is 21121132091. The next prime is 21121132171. The reversal of 21121132101 is 10123112112.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 21121132101 - 2⁵ = 21121132069 is a prime.

It is a super-2 number, since 2×21121132101² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21121132171) 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 7 ways as a sum of consecutive naturals, for example, 4274796 + ... + 4279733.

It is an arithmetic number, because the mean of its divisors is an integer number (3524466360).

Almost surely, 2^21121132101 is an apocalyptic number.

It is an amenable number.

21121132101 is a deficient number, since it is larger than the sum of its proper divisors (7074598779).

21121132101 is an equidigital number, since it uses as much as digits as its factorization.

21121132101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8555355.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 21121132101 its reverse (10123112112), we get a palindrome (31244244213).

The spelling of 21121132101 in words is "twenty-one billion, one hundred twenty-one million, one hundred thirty-two thousand, one hundred one".