100101122215201 has 2 divisors, whose sum is σ = 100101122215202. Its totient is φ = 100101122215200.

The previous prime is 100101122215189. The next prime is 100101122215231. The reversal of 100101122215201 is 102512221101001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98259618934801 + 1841503280400 = 9912599^2 + 1357020^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101122215201 - 2²⁹ = 100100585344289 is a prime.

It is not a weakly prime, because it can be changed into another prime (100101122215231) 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, 50050561107600 + 50050561107601.

It is an arithmetic number, because the mean of its divisors is an integer number (50050561107601).

Almost surely, 2^{100101122215201} is an apocalyptic number.

It is an amenable number.

100101122215201 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101122215201 is an equidigital number, since it uses as much as digits as its factorization.

100101122215201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 80, while the sum is 19.

Adding to 100101122215201 its reverse (102512221101001), we get a palindrome (202613343316202).

The spelling of 100101122215201 in words is "one hundred trillion, one hundred one billion, one hundred twenty-two million, two hundred fifteen thousand, two hundred one".