100200110002001 has 2 divisors, whose sum is σ = 100200110002002. Its totient is φ = 100200110002000.

The previous prime is 100200110001997. The next prime is 100200110002007. The reversal of 100200110002001 is 100200011002001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86598360318976 + 13601749683025 = 9305824^2 + 3688055^2 .

It is a cyclic number.

It is not a de Polignac number, because 100200110002001 - 2² = 100200110001997 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100200110002001.

It is not a weakly prime, because it can be changed into another prime (100200110002007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50100055001000 + 50100055001001.

It is an arithmetic number, because the mean of its divisors is an integer number (50100055001001).

Almost surely, 2^{100200110002001} is an apocalyptic number.

It is an amenable number.

100200110002001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100200110002001 is an equidigital number, since it uses as much as digits as its factorization.

100200110002001 is an evil number, because the sum of its binary digits is even.

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

Adding to 100200110002001 its reverse (100200011002001), we get a palindrome (200400121004002).

The spelling of 100200110002001 in words is "one hundred trillion, two hundred billion, one hundred ten million, two thousand, one".