100028602181 has 2 divisors, whose sum is σ = 100028602182. Its totient is φ = 100028602180.

The previous prime is 100028602153. The next prime is 100028602189. The reversal of 100028602181 is 181206820001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99533940100 + 494662081 = 315490^2 + 22241^2 .

It is a cyclic number.

It is not a de Polignac number, because 100028602181 - 2⁶ = 100028602117 is a prime.

It is a super-4 number, since 4×100028602181⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100028602189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50014301090 + 50014301091.

It is an arithmetic number, because the mean of its divisors is an integer number (50014301091).

Almost surely, 2^100028602181 is an apocalyptic number.

It is an amenable number.

100028602181 is a deficient number, since it is larger than the sum of its proper divisors (1).

100028602181 is an equidigital number, since it uses as much as digits as its factorization.

100028602181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 29.

The spelling of 100028602181 in words is "one hundred billion, twenty-eight million, six hundred two thousand, one hundred eighty-one".