21111100112101 has 2 divisors, whose sum is σ = 21111100112102. Its totient is φ = 21111100112100.

The previous prime is 21111100112099. The next prime is 21111100112111. The reversal of 21111100112101 is 10121100111112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21108502171201 + 2597940900 = 4594399^2 + 50970^2 .

It is a cyclic number.

It is not a de Polignac number, because 21111100112101 - 2¹ = 21111100112099 is a prime.

It is a super-3 number, since 3×21111100112101³ (a number of 41 digits) contains 333 as substring.

Together with 21111100112099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21111100112111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10555550056050 + 10555550056051.

It is an arithmetic number, because the mean of its divisors is an integer number (10555550056051).

Almost surely, 2^{21111100112101} is an apocalyptic number.

It is an amenable number.

21111100112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

21111100112101 is an equidigital number, since it uses as much as digits as its factorization.

21111100112101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 21111100112101 its reverse (10121100111112), we get a palindrome (31232200223213).

The spelling of 21111100112101 in words is "twenty-one trillion, one hundred eleven billion, one hundred million, one hundred twelve thousand, one hundred one".