1000100010001 has 16 divisors (see below), whose sum is σ = 1081270782864. Its totient is φ = 921599852544.

The previous prime is 1000100009969. The next prime is 1000100010017.

1000100010001 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 133078310401 + 867021699600 = 364799^2 + 931140^2 .

It is not a de Polignac number, because 1000100010001 - 2⁵ = 1000100009969 is a prime.

1000100010001 is a strobogrammatic number because it is the same when read upside-down.

It is a deceptive number, since it divides R_{1000100010000}.

It is a Duffinian number.

1000100010001 is a modest number, since divided by 100010001 gives 1 as remainder.

It is not an unprimeable number, because it can be changed into a prime (1000100010031) by changing a digit.

It is a nontrivial repunit in base 10000.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2771160 + ... + 3111193.

It is an arithmetic number, because the mean of its divisors is an integer number (67579423929).

Almost surely, 2^{1000100010001} is an apocalyptic number.

It is an amenable number.

1000100010001 is a deficient number, since it is larger than the sum of its proper divisors (81170772863).

1000100010001 is a wasteful number, since it uses less digits than its factorization.

1000100010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882580.

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

It can be divided in two parts, 10001000 and 10001, that added together give a palindrome (10011001).

The spelling of 1000100010001 in words is "one trillion, one hundred million, ten thousand, one".