20001100112201 has 8 divisors (see below), whose sum is σ = 21539942372424. Its totient is φ = 18462300151680.

The previous prime is 20001100112179. The next prime is 20001100112219. The reversal of 20001100112201 is 10221100110002.

It can be written as a sum of positive squares in 4 ways, for example, as 838462536976 + 19162637575225 = 915676^2 + 4377515^2 .

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 20001100112201 - 2¹⁴ = 20001100095817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20001100112101) 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, 9589460 + ... + 11487381.

It is an arithmetic number, because the mean of its divisors is an integer number (2692492796553).

Almost surely, 2^{20001100112201} is an apocalyptic number.

It is an amenable number.

20001100112201 is a deficient number, since it is larger than the sum of its proper divisors (1538842260223).

20001100112201 is a wasteful number, since it uses less digits than its factorization.

20001100112201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21149851.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 20001100112201 its reverse (10221100110002), we get a palindrome (30222200222203).

The spelling of 20001100112201 in words is "twenty trillion, one billion, one hundred million, one hundred twelve thousand, two hundred one".