100012111200101 has 2 divisors, whose sum is σ = 100012111200102. Its totient is φ = 100012111200100.

The previous prime is 100012111200083. The next prime is 100012111200143. The reversal of 100012111200101 is 101002111210001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54765905359201 + 45246205840900 = 7400399^2 + 6726530^2 .

It is a cyclic number.

It is not a de Polignac number, because 100012111200101 - 2³⁸ = 99737233293157 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100012111200161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50006055600050 + 50006055600051.

It is an arithmetic number, because the mean of its divisors is an integer number (50006055600051).

Almost surely, 2^{100012111200101} is an apocalyptic number.

It is an amenable number.

100012111200101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100012111200101 is an equidigital number, since it uses as much as digits as its factorization.

100012111200101 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 11.

Adding to 100012111200101 its reverse (101002111210001), we get a palindrome (201014222410102).

The spelling of 100012111200101 in words is "one hundred trillion, twelve billion, one hundred eleven million, two hundred thousand, one hundred one".