10012010120000 has 140 divisors (see below), whose sum is σ = 28373179301280. Its totient is φ = 3432689088000.

The previous prime is 10012010119927. The next prime is 10012010120009. The reversal of 10012010120000 is 2101021001.

It is a tau number, because it is divible by the number of its divisors (140).

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 10012010120000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012010120009) 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 19 ways as a sum of consecutive naturals, for example, 17598590 + ... + 18158589.

Almost surely, 2^{10012010120000} is an apocalyptic number.

10012010120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012010120000 is an abundant number, since it is smaller than the sum of its proper divisors (18361169181280).

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

10012010120000 is an frugal number, since it uses more digits than its factorization.

10012010120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35757218 (or 35757193 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10012010120000 its reverse (2101021001), we get a palindrome (10014111141001).

The spelling of 10012010120000 in words is "ten trillion, twelve billion, ten million, one hundred twenty thousand".