100110201211201 has 2 divisors, whose sum is σ = 100110201211202. Its totient is φ = 100110201211200.

The previous prime is 100110201211187. The next prime is 100110201211217. The reversal of 100110201211201 is 102112102011001.

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., 91012744803600 + 9097456407601 = 9540060^2 + 3016199^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110201211201 - 2³³ = 100101611276609 is a prime.

It is not a weakly prime, because it can be changed into another prime (100110201211901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055100605600 + 50055100605601.

It is an arithmetic number, because the mean of its divisors is an integer number (50055100605601).

Almost surely, 2^{100110201211201} is an apocalyptic number.

It is an amenable number.

100110201211201 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110201211201 is an equidigital number, since it uses as much as digits as its factorization.

100110201211201 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 13.

Adding to 100110201211201 its reverse (102112102011001), we get a palindrome (202222303222202).

The spelling of 100110201211201 in words is "one hundred trillion, one hundred ten billion, two hundred one million, two hundred eleven thousand, two hundred one".