100111011011201 has 2 divisors, whose sum is σ = 100111011011202. Its totient is φ = 100111011011200.

The previous prime is 100111011011161. The next prime is 100111011011227. The reversal of 100111011011201 is 102110110111001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100031982556801 + 79028454400 = 10001599^2 + 281120^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111011011201 - 2²² = 100111006816897 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (100111011011251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055505505600 + 50055505505601.

It is an arithmetic number, because the mean of its divisors is an integer number (50055505505601).

Almost surely, 2^{100111011011201} is an apocalyptic number.

It is an amenable number.

100111011011201 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111011011201 is an equidigital number, since it uses as much as digits as its factorization.

100111011011201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 100111011011201 its reverse (102110110111001), we get a palindrome (202221121122202).

The spelling of 100111011011201 in words is "one hundred trillion, one hundred eleven billion, eleven million, eleven thousand, two hundred one".