11102110112101 has 2 divisors, whose sum is σ = 11102110112102. Its totient is φ = 11102110112100.

The previous prime is 11102110112089. The next prime is 11102110112213. The reversal of 11102110112101 is 10121101120111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7424916516900 + 3677193595201 = 2724870^2 + 1917601^2 .

It is a cyclic number.

It is not a de Polignac number, because 11102110112101 - 2¹¹ = 11102110110053 is a prime.

It is a super-3 number, since 3×11102110112101³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11102110110101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5551055056050 + 5551055056051.

It is an arithmetic number, because the mean of its divisors is an integer number (5551055056051).

Almost surely, 2^{11102110112101} is an apocalyptic number.

It is an amenable number.

11102110112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

11102110112101 is an equidigital number, since it uses as much as digits as its factorization.

11102110112101 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 11102110112101 its reverse (10121101120111), we get a palindrome (21223211232212).

The spelling of 11102110112101 in words is "eleven trillion, one hundred two billion, one hundred ten million, one hundred twelve thousand, one hundred one".