100117728541 has 2 divisors, whose sum is σ = 100117728542. Its totient is φ = 100117728540.

The previous prime is 100117728523. The next prime is 100117728547. The reversal of 100117728541 is 145827711001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99347888025 + 769840516 = 315195^2 + 27746^2 .

It is a cyclic number.

It is not a de Polignac number, because 100117728541 - 2³¹ = 97970244893 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100117728541.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100117728547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50058864270 + 50058864271.

It is an arithmetic number, because the mean of its divisors is an integer number (50058864271).

Almost surely, 2^100117728541 is an apocalyptic number.

It is an amenable number.

100117728541 is a deficient number, since it is larger than the sum of its proper divisors (1).

100117728541 is an equidigital number, since it uses as much as digits as its factorization.

100117728541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15680, while the sum is 37.

The spelling of 100117728541 in words is "one hundred billion, one hundred seventeen million, seven hundred twenty-eight thousand, five hundred forty-one".