100201100001019 has 2 divisors, whose sum is σ = 100201100001020. Its totient is φ = 100201100001018.

The previous prime is 100201100001001. The next prime is 100201100001071. The reversal of 100201100001019 is 910100001102001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100201100001019 - 2¹³ = 100201099992827 is a prime.

It is a super-2 number, since 2×100201100001019² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100201100000993 and 100201100001011.

It is not a weakly prime, because it can be changed into another prime (100201100002019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50100550000509 + 50100550000510.

It is an arithmetic number, because the mean of its divisors is an integer number (50100550000510).

Almost surely, 2^{100201100001019} is an apocalyptic number.

100201100001019 is a deficient number, since it is larger than the sum of its proper divisors (1).

100201100001019 is an equidigital number, since it uses as much as digits as its factorization.

100201100001019 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 16.

The spelling of 100201100001019 in words is "one hundred trillion, two hundred one billion, one hundred million, one thousand, nineteen".