2202000100001 has 8 divisors (see below), whose sum is σ = 2371405180200. Its totient is φ = 2032597942272.

The previous prime is 2202000099977. The next prime is 2202000100043. The reversal of 2202000100001 is 1000010002022.

It can be written as a sum of positive squares in 4 ways, for example, as 3378399376 + 2198621700625 = 58124^2 + 1482775^2 .

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 2202000100001 - 2¹⁸ = 2201999837857 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2202000100081) 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, 983201 + ... + 2317473.

It is an arithmetic number, because the mean of its divisors is an integer number (296425647525).

Almost surely, 2^{2202000100001} is an apocalyptic number.

It is an amenable number.

2202000100001 is a deficient number, since it is larger than the sum of its proper divisors (169405080199).

2202000100001 is a wasteful number, since it uses less digits than its factorization.

2202000100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461235.

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

Adding to 2202000100001 its reverse (1000010002022), we get a palindrome (3202010102023).

The spelling of 2202000100001 in words is "two trillion, two hundred two billion, one hundred thousand, one".