1000100012201 has 2 divisors, whose sum is σ = 1000100012202. Its totient is φ = 1000100012200.

The previous prime is 1000100012189. The next prime is 1000100012213. The reversal of 1000100012201 is 1022100010001.

It is a balanced prime because it is at equal distance from previous prime (1000100012189) and next prime (1000100012213).

It can be written as a sum of positive squares in only one way, i.e., 863552025625 + 136547986576 = 929275^2 + 369524^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000100012201 - 2⁶ = 1000100012137 is a prime.

It is not a weakly prime, because it can be changed into another prime (1000100012281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500050006100 + 500050006101.

It is an arithmetic number, because the mean of its divisors is an integer number (500050006101).

Almost surely, 2^{1000100012201} is an apocalyptic number.

It is an amenable number.

1000100012201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000100012201 is an equidigital number, since it uses as much as digits as its factorization.

1000100012201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1000100012201 its reverse (1022100010001), we get a palindrome (2022200022202).

The spelling of 1000100012201 in words is "one trillion, one hundred million, twelve thousand, two hundred one".