101000000100001 has 4 divisors (see below), whose sum is σ = 102041237214532. Its totient is φ = 99958762985472.

The previous prime is 101000000099963. The next prime is 101000000100049. The reversal of 101000000100001 is 100001000000101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 19897799883025 + 81102200216976 = 4460695^2 + 9005676^2 .

It is a cyclic number.

It is not a de Polignac number, because 101000000100001 - 2¹⁵ = 101000000067233 is a prime.

It is a Duffinian number.

101000000100001 is a modest number, since divided by 100001 gives 10100 as remainder.

It is not an unprimeable number, because it can be changed into a prime (101000100100001) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 520618557120 + ... + 520618557313.

It is an arithmetic number, because the mean of its divisors is an integer number (25510309303633).

Almost surely, 2^{101000000100001} is an apocalyptic number.

It is an amenable number.

101000000100001 is a deficient number, since it is larger than the sum of its proper divisors (1041237114531).

101000000100001 is an equidigital number, since it uses as much as digits as its factorization.

101000000100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041237114530.

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 101000000100001 its reverse (100001000000101), we get a palindrome (201001000100102).

The spelling of 101000000100001 in words is "one hundred one trillion, one hundred thousand, one".