100101002222201 has 2 divisors, whose sum is σ = 100101002222202. Its totient is φ = 100101002222200.

The previous prime is 100101002222107. The next prime is 100101002222227. The reversal of 100101002222201 is 102222200101001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89724486234601 + 10376515987600 = 9472301^2 + 3221260^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100101002222201 is a prime.

It is not a weakly prime, because it can be changed into another prime (100101002222701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050501111100 + 50050501111101.

It is an arithmetic number, because the mean of its divisors is an integer number (50050501111101).

Almost surely, 2^{100101002222201} is an apocalyptic number.

It is an amenable number.

100101002222201 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101002222201 is an equidigital number, since it uses as much as digits as its factorization.

100101002222201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100101002222201 its reverse (102222200101001), we get a palindrome (202323202323202).

The spelling of 100101002222201 in words is "one hundred trillion, one hundred one billion, two million, two hundred twenty-two thousand, two hundred one".