220200100010001 has 12 divisors (see below), whose sum is σ = 320388466683012. Its totient is φ = 145728533339136.

The previous prime is 220200100009973. The next prime is 220200100010029. The reversal of 220200100010001 is 100010001002022.

It is an interprime number because it is at equal distance from previous prime (220200100009973) and next prime (220200100010029).

It can be written as a sum of positive squares in 2 ways, for example, as 188665361273601 + 31534738736400 = 13735551^2 + 5615580^2 .

It is not a de Polignac number, because 220200100010001 - 2⁹ = 220200100009489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (220200100010801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89294443216 + ... + 89294445681.

It is an arithmetic number, because the mean of its divisors is an integer number (26699038890251).

Almost surely, 2^{220200100010001} is an apocalyptic number.

It is an amenable number.

220200100010001 is a deficient number, since it is larger than the sum of its proper divisors (100188366673011).

220200100010001 is a wasteful number, since it uses less digits than its factorization.

220200100010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178588889040 (or 178588889037 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 220200100010001 its reverse (100010001002022), we get a palindrome (320210101012023).

The spelling of 220200100010001 in words is "two hundred twenty trillion, two hundred billion, one hundred million, ten thousand, one".