100200220100201 has 8 divisors (see below), whose sum is σ = 107916867462600. Its totient is φ = 92484849612672.

The previous prime is 100200220100119. The next prime is 100200220100209. The reversal of 100200220100201 is 102001022002001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11276828893801 + 88923391206400 = 3358099^2 + 9429920^2 .

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 100200220100201 - 2¹⁸ = 100200219838057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100200220100209) 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, 319055726 + ... + 319369623.

It is an arithmetic number, because the mean of its divisors is an integer number (13489608432825).

Almost surely, 2^{100200220100201} is an apocalyptic number.

It is an amenable number.

100200220100201 is a deficient number, since it is larger than the sum of its proper divisors (7716647362399).

100200220100201 is a wasteful number, since it uses less digits than its factorization.

100200220100201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638437435.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100200220100201 its reverse (102001022002001), we get a palindrome (202201242102202).

The spelling of 100200220100201 in words is "one hundred trillion, two hundred billion, two hundred twenty million, one hundred thousand, two hundred one".