101009100001 has 2 divisors, whose sum is σ = 101009100002. Its totient is φ = 101009100000.

The previous prime is 101009099981. The next prime is 101009100011. The reversal of 101009100001 is 100001900101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92796390625 + 8212709376 = 304625^2 + 90624^2 .

It is a cyclic number.

It is not a de Polignac number, because 101009100001 - 2¹³ = 101009091809 is a prime.

It is not a weakly prime, because it can be changed into another prime (101009100011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50504550000 + 50504550001.

It is an arithmetic number, because the mean of its divisors is an integer number (50504550001).

Almost surely, 2^101009100001 is an apocalyptic number.

It is an amenable number.

101009100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101009100001 is an equidigital number, since it uses as much as digits as its factorization.

101009100001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 13.

The spelling of 101009100001 in words is "one hundred one billion, nine million, one hundred thousand, one".