10002000011201 has 8 divisors (see below), whose sum is σ = 10925958176064. Its totient is φ = 9080489419120.

The previous prime is 10002000011197. The next prime is 10002000011209. The reversal of 10002000011201 is 10211000020001.

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

It is a cyclic number.

It is not a de Polignac number, because 10002000011201 - 2² = 10002000011197 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10002000011209) 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, 611884646 + ... + 611900991.

It is an arithmetic number, because the mean of its divisors is an integer number (1365744772008).

Almost surely, 2^{10002000011201} is an apocalyptic number.

10002000011201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10002000011201 is a deficient number, since it is larger than the sum of its proper divisors (923958164863).

10002000011201 is a wasteful number, since it uses less digits than its factorization.

10002000011201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223786391.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10002000011201 its reverse (10211000020001), we get a palindrome (20213000031202).

The spelling of 10002000011201 in words is "ten trillion, two billion, eleven thousand, two hundred one".