11102000102101 has 2 divisors, whose sum is σ = 11102000102102. Its totient is φ = 11102000102100.

The previous prime is 11102000102077. The next prime is 11102000102183. The reversal of 11102000102101 is 10120100020111.

11102000102101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7875572259025 + 3226427843076 = 2806345^2 + 1796226^2 .

It is a cyclic number.

It is not a de Polignac number, because 11102000102101 - 2³¹ = 11099852618453 is a prime.

It is a super-2 number, since 2×11102000102101² (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 (11102000103101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5551000051050 + 5551000051051.

It is an arithmetic number, because the mean of its divisors is an integer number (5551000051051).

Almost surely, 2^{11102000102101} is an apocalyptic number.

It is an amenable number.

11102000102101 is a deficient number, since it is larger than the sum of its proper divisors (1).

11102000102101 is an equidigital number, since it uses as much as digits as its factorization.

11102000102101 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 10.

Adding to 11102000102101 its reverse (10120100020111), we get a palindrome (21222100122212).

The spelling of 11102000102101 in words is "eleven trillion, one hundred two billion, one hundred two thousand, one hundred one".