100010011101001 has 2 divisors, whose sum is σ = 100010011101002. Its totient is φ = 100010011101000.

The previous prime is 100010011100983. The next prime is 100010011101031. The reversal of 100010011101001 is 100101110010001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97494868854601 + 2515142246400 = 9873949^2 + 1585920^2 .

It is a cyclic number.

It is not a de Polignac number, because 100010011101001 - 2¹¹ = 100010011098953 is a prime.

It is not a weakly prime, because it can be changed into another prime (100010011101031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005005550500 + 50005005550501.

It is an arithmetic number, because the mean of its divisors is an integer number (50005005550501).

Almost surely, 2^{100010011101001} is an apocalyptic number.

It is an amenable number.

100010011101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010011101001 is an equidigital number, since it uses as much as digits as its factorization.

100010011101001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100010011101001 its reverse (100101110010001), we get a palindrome (200111121111002).

The spelling of 100010011101001 in words is "one hundred trillion, ten billion, eleven million, one hundred one thousand, one".