100112202220001 has 2 divisors, whose sum is σ = 100112202220002. Its totient is φ = 100112202220000.

The previous prime is 100112202219977. The next prime is 100112202220091. The reversal of 100112202220001 is 100022202211001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88963548338401 + 11148653881600 = 9432049^2 + 3338960^2 .

It is a cyclic number.

It is not a de Polignac number, because 100112202220001 - 2¹⁸ = 100112201957857 is a prime.

It is not a weakly prime, because it can be changed into another prime (100112202220091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056101110000 + 50056101110001.

It is an arithmetic number, because the mean of its divisors is an integer number (50056101110001).

Almost surely, 2^{100112202220001} is an apocalyptic number.

It is an amenable number.

100112202220001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112202220001 is an equidigital number, since it uses as much as digits as its factorization.

100112202220001 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 100112202220001 its reverse (100022202211001), we get a palindrome (200134404431002).

The spelling of 100112202220001 in words is "one hundred trillion, one hundred twelve billion, two hundred two million, two hundred twenty thousand, one".