11101617819601 has 2 divisors, whose sum is σ = 11101617819602. Its totient is φ = 11101617819600.

The previous prime is 11101617819583. The next prime is 11101617819613. The reversal of 11101617819601 is 10691871610111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5726453786001 + 5375164033600 = 2393001^2 + 2318440^2 .

It is an emirp because it is prime and its reverse (10691871610111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11101617819601 - 2¹³ = 11101617811409 is a prime.

It is a super-2 number, since 2×11101617819601² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (11101617819701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5550808909800 + 5550808909801.

It is an arithmetic number, because the mean of its divisors is an integer number (5550808909801).

Almost surely, 2^{11101617819601} is an apocalyptic number.

It is an amenable number.

11101617819601 is a deficient number, since it is larger than the sum of its proper divisors (1).

11101617819601 is an equidigital number, since it uses as much as digits as its factorization.

11101617819601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18144, while the sum is 43.

The spelling of 11101617819601 in words is "eleven trillion, one hundred one billion, six hundred seventeen million, eight hundred nineteen thousand, six hundred one".