101112211010801 has 2 divisors, whose sum is σ = 101112211010802. Its totient is φ = 101112211010800.

The previous prime is 101112211010719. The next prime is 101112211010813. The reversal of 101112211010801 is 108010112211101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96944799063025 + 4167411947776 = 9846055^2 + 2041424^2 .

It is a cyclic number.

It is not a de Polignac number, because 101112211010801 - 2⁴⁶ = 30743466833137 is a prime.

It is not a weakly prime, because it can be changed into another prime (101112211030801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556105505400 + 50556105505401.

It is an arithmetic number, because the mean of its divisors is an integer number (50556105505401).

Almost surely, 2^{101112211010801} is an apocalyptic number.

It is an amenable number.

101112211010801 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112211010801 is an equidigital number, since it uses as much as digits as its factorization.

101112211010801 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 20.

Adding to 101112211010801 its reverse (108010112211101), we get a palindrome (209122323221902).

The spelling of 101112211010801 in words is "one hundred one trillion, one hundred twelve billion, two hundred eleven million, ten thousand, eight hundred one".