11121101102101 has 2 divisors, whose sum is σ = 11121101102102. Its totient is φ = 11121101102100.

The previous prime is 11121101102021. The next prime is 11121101102149. The reversal of 11121101102101 is 10120110112111.

11121101102101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8590936860900 + 2530164241201 = 2931030^2 + 1590649^2 .

It is a cyclic number.

It is not a de Polignac number, because 11121101102101 - 2⁹ = 11121101101589 is a prime.

It is a super-2 number, since 2×11121101102101² (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 (11121101102191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5560550551050 + 5560550551051.

It is an arithmetic number, because the mean of its divisors is an integer number (5560550551051).

Almost surely, 2^{11121101102101} is an apocalyptic number.

It is an amenable number.

11121101102101 is a deficient number, since it is larger than the sum of its proper divisors (1).

11121101102101 is an equidigital number, since it uses as much as digits as its factorization.

11121101102101 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 11121101102101 its reverse (10120110112111), we get a palindrome (21241211214212).

The spelling of 11121101102101 in words is "eleven trillion, one hundred twenty-one billion, one hundred one million, one hundred two thousand, one hundred one".