1010112110001 has 12 divisors (see below), whose sum is σ = 1509362923380. Its totient is φ = 650187105120.

The previous prime is 1010112109969. The next prime is 1010112110011. The reversal of 1010112110001 is 1000112110101.

It can be written as a sum of positive squares in 2 ways, for example, as 624098420001 + 386013690000 = 789999^2 + 621300^2 .

It is not a de Polignac number, because 1010112110001 - 2⁵ = 1010112109969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1010112110011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1935080410 + ... + 1935080931.

It is an arithmetic number, because the mean of its divisors is an integer number (125780243615).

Almost surely, 2^{1010112110001} is an apocalyptic number.

It is an amenable number.

1010112110001 is a deficient number, since it is larger than the sum of its proper divisors (499250813379).

1010112110001 is a wasteful number, since it uses less digits than its factorization.

1010112110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3870161376 (or 3870161373 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1010112110001 its reverse (1000112110101), we get a palindrome (2010224220102).

The spelling of 1010112110001 in words is "one trillion, ten billion, one hundred twelve million, one hundred ten thousand, one".