100111521165541 has 2 divisors, whose sum is σ = 100111521165542. Its totient is φ = 100111521165540.

The previous prime is 100111521165517. The next prime is 100111521165629. The reversal of 100111521165541 is 145561125111001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76283699274916 + 23827821890625 = 8734054^2 + 4881375^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111521165541 - 2³³ = 100102931230949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100111521165497 and 100111521165506.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100111521165641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055760582770 + 50055760582771.

It is an arithmetic number, because the mean of its divisors is an integer number (50055760582771).

Almost surely, 2^{100111521165541} is an apocalyptic number.

It is an amenable number.

100111521165541 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111521165541 is an equidigital number, since it uses as much as digits as its factorization.

100111521165541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6000, while the sum is 34.

Adding to 100111521165541 its reverse (145561125111001), we get a palindrome (245672646276542).

The spelling of 100111521165541 in words is "one hundred trillion, one hundred eleven billion, five hundred twenty-one million, one hundred sixty-five thousand, five hundred forty-one".