12010011002010 has 384 divisors, whose sum is σ = 37275852257280. Its totient is φ = 2625628262400.

The previous prime is 12010011001951. The next prime is 12010011002069. The reversal of 12010011002010 is 1020011001021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12010011001951) and next prime (12010011002069).

It is a super-4 number, since 4×12010011002010⁴ (a number of 53 digits) contains 4444 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12010011001983 and 12010011002001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2383409071 + ... + 2383414109.

It is an arithmetic number, because the mean of its divisors is an integer number (97072531920).

Almost surely, 2^{12010011002010} is an apocalyptic number.

12010011002010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12010011002010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18637926128640).

12010011002010 is an abundant number, since it is smaller than the sum of its proper divisors (25265841255270).

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

12010011002010 is a wasteful number, since it uses less digits than its factorization.

12010011002010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6894 (or 6891 counting only the distinct ones).

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

Adding to 12010011002010 its reverse (1020011001021), we get a palindrome (13030022003031).

The spelling of 12010011002010 in words is "twelve trillion, ten billion, eleven million, two thousand, ten".