100901081 has 2 divisors, whose sum is σ = 100901082. Its totient is φ = 100901080.

The previous prime is 100901051. The next prime is 100901083. The reversal of 100901081 is 180109001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82065481 + 18835600 = 9059^2 + 4340^2 .

It is a cyclic number.

It is not a de Polignac number, because 100901081 - 2¹⁴ = 100884697 is a prime.

It is a super-2 number, since 2×100901081² = 20362056293937122, which contains 22 as substring.

Together with 100901083, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p_5810240 and since 100901081 and 5810240 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (100901083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50450540 + 50450541.

It is an arithmetic number, because the mean of its divisors is an integer number (50450541).

Almost surely, 2^100901081 is an apocalyptic number.

It is an amenable number.

100901081 is a deficient number, since it is larger than the sum of its proper divisors (1).

100901081 is an equidigital number, since it uses as much as digits as its factorization.

100901081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 20.

The square root of 100901081 is about 10044.9530113386. The cubic root of 100901081 is about 465.5488658968.

The spelling of 100901081 in words is "one hundred million, nine hundred one thousand, eighty-one".