1010112010001 has 2 divisors, whose sum is σ = 1010112010002. Its totient is φ = 1010112010000.

The previous prime is 1010112009989. The next prime is 1010112010031. The reversal of 1010112010001 is 1000102110101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 774401760001 + 235710250000 = 880001^2 + 485500^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010112010001 - 2¹⁰ = 1010112008977 is a prime.

It is not a weakly prime, because it can be changed into another prime (1010112010031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505056005000 + 505056005001.

It is an arithmetic number, because the mean of its divisors is an integer number (505056005001).

Almost surely, 2^{1010112010001} is an apocalyptic number.

It is an amenable number.

1010112010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010112010001 is an equidigital number, since it uses as much as digits as its factorization.

1010112010001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1010112010001 its reverse (1000102110101), we get a palindrome (2010214120102).

The spelling of 1010112010001 in words is "one trillion, ten billion, one hundred twelve million, ten thousand, one".