100200121201001 has 2 divisors, whose sum is σ = 100200121201002. Its totient is φ = 100200121201000.

The previous prime is 100200121200979. The next prime is 100200121201079. The reversal of 100200121201001 is 100102121002001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74734987603600 + 25465133597401 = 8644940^2 + 5046299^2 .

It is a cyclic number.

It is not a de Polignac number, because 100200121201001 - 2¹⁸ = 100200120938857 is a prime.

It is not a weakly prime, because it can be changed into another prime (100200121203001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50100060600500 + 50100060600501.

It is an arithmetic number, because the mean of its divisors is an integer number (50100060600501).

Almost surely, 2^{100200121201001} is an apocalyptic number.

It is an amenable number.

100200121201001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100200121201001 is an equidigital number, since it uses as much as digits as its factorization.

100200121201001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100200121201001 its reverse (100102121002001), we get a palindrome (200302242203002).

The spelling of 100200121201001 in words is "one hundred trillion, two hundred billion, one hundred twenty-one million, two hundred one thousand, one".