1010000102112 has 144 divisors (see below), whose sum is σ = 3043698774480. Its totient is φ = 317129164800.

The previous prime is 1010000102011. The next prime is 1010000102117. The reversal of 1010000102112 is 2112010000101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 1010000102094 and 1010000102103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010000102117) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1132314 + ... + 1817177.

It is an arithmetic number, because the mean of its divisors is an integer number (21136797045).

Almost surely, 2^{1010000102112} is an apocalyptic number.

1010000102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1010000102112 is an abundant number, since it is smaller than the sum of its proper divisors (2033698672368).

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

1010000102112 is a wasteful number, since it uses less digits than its factorization.

1010000102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2949577 (or 2949566 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1010000102112 its reverse (2112010000101), we get a palindrome (3122010102213).

The spelling of 1010000102112 in words is "one trillion, ten billion, one hundred two thousand, one hundred twelve".