10001100011201 has 8 divisors (see below), whose sum is σ = 10825087558824. Its totient is φ = 9184922772480.

The previous prime is 10001100011197. The next prime is 10001100011239. The reversal of 10001100011201 is 10211000110001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5539715395600 + 4461384615601 = 2353660^2 + 2112199^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10001100011201 - 2² = 10001100011197 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001100011251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1952574560 + ... + 1952579681.

It is an arithmetic number, because the mean of its divisors is an integer number (1353135944853).

Almost surely, 2^{10001100011201} is an apocalyptic number.

It is an amenable number.

10001100011201 is a deficient number, since it is larger than the sum of its proper divisors (823987547623).

10001100011201 is a wasteful number, since it uses less digits than its factorization.

10001100011201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3905154451.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10001100011201 its reverse (10211000110001), we get a palindrome (20212100121202).

The spelling of 10001100011201 in words is "ten trillion, one billion, one hundred million, eleven thousand, two hundred one".