21102010011101 has 2 divisors, whose sum is σ = 21102010011102. Its totient is φ = 21102010011100.

The previous prime is 21102010011083. The next prime is 21102010011107. The reversal of 21102010011101 is 10111001020112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14042632022500 + 7059377988601 = 3747350^2 + 2656949^2 .

It is a cyclic number.

It is not a de Polignac number, because 21102010011101 - 2⁶ = 21102010011037 is a prime.

It is a super-2 number, since 2×21102010011101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21102010011107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10551005005550 + 10551005005551.

It is an arithmetic number, because the mean of its divisors is an integer number (10551005005551).

Almost surely, 2^{21102010011101} is an apocalyptic number.

It is an amenable number.

21102010011101 is a deficient number, since it is larger than the sum of its proper divisors (1).

21102010011101 is an equidigital number, since it uses as much as digits as its factorization.

21102010011101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 21102010011101 its reverse (10111001020112), we get a palindrome (31213011031213).

The spelling of 21102010011101 in words is "twenty-one trillion, one hundred two billion, ten million, eleven thousand, one hundred one".