21122011322101 has 16 divisors (see below), whose sum is σ = 21308102838000. Its totient is φ = 20936520959488.

The previous prime is 21122011322081. The next prime is 21122011322149. The reversal of 21122011322101 is 10122311022112.

It can be written as a sum of positive squares in 8 ways, for example, as 1021575132900 + 20100436189201 = 1010730^2 + 4483351^2 .

It is a cyclic number.

It is not a de Polignac number, because 21122011322101 - 2³⁹ = 20572255508213 is a prime.

It is a super-2 number, since 2×21122011322101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122011322201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1196231265 + ... + 1196248921.

It is an arithmetic number, because the mean of its divisors is an integer number (1331756427375).

Almost surely, 2^{21122011322101} is an apocalyptic number.

It is an amenable number.

21122011322101 is a deficient number, since it is larger than the sum of its proper divisors (186091515899).

21122011322101 is a wasteful number, since it uses less digits than its factorization.

21122011322101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34088.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 21122011322101 its reverse (10122311022112), we get a palindrome (31244322344213).

The spelling of 21122011322101 in words is "twenty-one trillion, one hundred twenty-two billion, eleven million, three hundred twenty-two thousand, one hundred one".