1010112011201 has 2 divisors, whose sum is σ = 1010112011202. Its totient is φ = 1010112011200.

The previous prime is 1010112011191. The next prime is 1010112011203. The reversal of 1010112011201 is 1021102110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 790811804176 + 219300207025 = 889276^2 + 468295^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010112011201 - 2¹⁸ = 1010111749057 is a prime.

Together with 1010112011203, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1010112011203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505056005600 + 505056005601.

It is an arithmetic number, because the mean of its divisors is an integer number (505056005601).

Almost surely, 2^{1010112011201} is an apocalyptic number.

It is an amenable number.

1010112011201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010112011201 is an equidigital number, since it uses as much as digits as its factorization.

1010112011201 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 1010112011201 its reverse (1021102110101), we get a palindrome (2031214121302).

The spelling of 1010112011201 in words is "one trillion, ten billion, one hundred twelve million, eleven thousand, two hundred one".