100505516141 has 2 divisors, whose sum is σ = 100505516142. Its totient is φ = 100505516140.

The previous prime is 100505516107. The next prime is 100505516147. The reversal of 100505516141 is 141615505001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79272654916 + 21232861225 = 281554^2 + 145715^2 .

It is an emirp because it is prime and its reverse (141615505001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100505516141 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100505516147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50252758070 + 50252758071.

It is an arithmetic number, because the mean of its divisors is an integer number (50252758071).

Almost surely, 2^100505516141 is an apocalyptic number.

It is an amenable number.

100505516141 is a deficient number, since it is larger than the sum of its proper divisors (1).

100505516141 is an equidigital number, since it uses as much as digits as its factorization.

100505516141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3000, while the sum is 29.

The spelling of 100505516141 in words is "one hundred billion, five hundred five million, five hundred sixteen thousand, one hundred forty-one".