1010112100001 has 8 divisors (see below), whose sum is σ = 1024567876200. Its totient is φ = 995743670400.

The previous prime is 1010112099979. The next prime is 1010112100009. The reversal of 1010112100001 is 1000012110101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 301619541601 + 708492558400 = 549199^2 + 841720^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1010112100001 - 2³⁰ = 1009038358177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010112100009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21813356 + ... + 21859613.

It is an arithmetic number, because the mean of its divisors is an integer number (128070984525).

Almost surely, 2^{1010112100001} is an apocalyptic number.

It is an amenable number.

1010112100001 is a deficient number, since it is larger than the sum of its proper divisors (14455776199).

1010112100001 is a wasteful number, since it uses less digits than its factorization.

1010112100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43673299.

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

Adding to 1010112100001 its reverse (1000012110101), we get a palindrome (2010124210102).

The spelling of 1010112100001 in words is "one trillion, ten billion, one hundred twelve million, one hundred thousand, one".