1010001010112 has 56 divisors (see below), whose sum is σ = 2051200191216. Its totient is φ = 493167403008.

The previous prime is 1010001010103. The next prime is 1010001010133. The reversal of 1010001010112 is 2110101000101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 1010001010112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16792958 + ... + 16852994.

Almost surely, 2^{1010001010112} is an apocalyptic number.

It is an amenable number.

1010001010112 is an abundant number, since it is smaller than the sum of its proper divisors (1041199181104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1010001010112 is an equidigital number, since it uses as much as digits as its factorization.

1010001010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66205 (or 66195 counting only the distinct ones).

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

Adding to 1010001010112 its reverse (2110101000101), we get a palindrome (3120102010213).

The spelling of 1010001010112 in words is "one trillion, ten billion, one million, ten thousand, one hundred twelve".