100001020111001 has 2 divisors, whose sum is σ = 100001020111002. Its totient is φ = 100001020111000.

The previous prime is 100001020110997. The next prime is 100001020111037. The reversal of 100001020111001 is 100111020100001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82599941579401 + 17401078531600 = 9088451^2 + 4171460^2 .

It is a cyclic number.

It is not a de Polignac number, because 100001020111001 - 2² = 100001020110997 is a prime.

It is a super-2 number, since 2×100001020111001² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100001020111001.

It is not a weakly prime, because it can be changed into another prime (100001020161001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000510055500 + 50000510055501.

It is an arithmetic number, because the mean of its divisors is an integer number (50000510055501).

Almost surely, 2^{100001020111001} is an apocalyptic number.

It is an amenable number.

100001020111001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001020111001 is an equidigital number, since it uses as much as digits as its factorization.

100001020111001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100001020111001 its reverse (100111020100001), we get a palindrome (200112040211002).

The spelling of 100001020111001 in words is "one hundred trillion, one billion, twenty million, one hundred eleven thousand, one".