21122111102101 has 8 divisors (see below), whose sum is σ = 22367500040664. Its totient is φ = 19877045698560.

The previous prime is 21122111102087. The next prime is 21122111102117. The reversal of 21122111102101 is 10120111122112.

It can be written as a sum of positive squares in 4 ways, for example, as 2657910696100 + 18464200406001 = 1630310^2 + 4296999^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 21122111102101 - 2⁵ = 21122111102069 is a prime.

It is a super-2 number, since 2×21122111102101² (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 (21122111109101) 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 7 ways as a sum of consecutive naturals, for example, 80749330 + ... + 81010483.

It is an arithmetic number, because the mean of its divisors is an integer number (2795937505083).

Almost surely, 2^{21122111102101} is an apocalyptic number.

It is an amenable number.

21122111102101 is a deficient number, since it is larger than the sum of its proper divisors (1245388938563).

21122111102101 is a wasteful number, since it uses less digits than its factorization.

21122111102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161767511.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 21122111102101 its reverse (10120111122112), we get a palindrome (31242222224213).

The spelling of 21122111102101 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred eleven million, one hundred two thousand, one hundred one".