2010001001112 has 72 divisors (see below), whose sum is σ = 5894714510100. Its totient is φ = 618461842752.

The previous prime is 2010001001083. The next prime is 2010001001131. The reversal of 2010001001112 is 2111001000102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 2010001001094 and 2010001001103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 82581562 + ... + 82605897.

Almost surely, 2^{2010001001112} is an apocalyptic number.

It is an amenable number.

2010001001112 is an abundant number, since it is smaller than the sum of its proper divisors (3884713508988).

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

2010001001112 is a wasteful number, since it uses less digits than its factorization.

2010001001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165187497 (or 165187477 counting only the distinct ones).

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

Adding to 2010001001112 its reverse (2111001000102), we get a palindrome (4121002001214).

The spelling of 2010001001112 in words is "two trillion, ten billion, one million, one thousand, one hundred twelve".