1002201100001 has 16 divisors (see below), whose sum is σ = 1031207988096. Its totient is φ = 973571604096.

The previous prime is 1002201099989. The next prime is 1002201100007. The reversal of 1002201100001 is 1000011022001.

It is a cyclic number.

It is not a de Polignac number, because 1002201100001 - 2¹⁸ = 1002200837857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1002201100007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39253826 + ... + 39279348.

It is an arithmetic number, because the mean of its divisors is an integer number (64450499256).

Almost surely, 2^{1002201100001} is an apocalyptic number.

It is an amenable number.

1002201100001 is a deficient number, since it is larger than the sum of its proper divisors (29006888095).

1002201100001 is a wasteful number, since it uses less digits than its factorization.

1002201100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32872.

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

Adding to 1002201100001 its reverse (1000011022001), we get a palindrome (2002212122002).

The spelling of 1002201100001 in words is "one trillion, two billion, two hundred one million, one hundred thousand, one".