10021200000012 has 192 divisors, whose sum is σ = 27832300876800. Its totient is φ = 3108901824000.

The previous prime is 10021199999933. The next prime is 10021200000041. The reversal of 10021200000012 is 21000000212001.

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

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 63 ways as a sum of consecutive naturals, for example, 40817062 + ... + 41061842.

It is an arithmetic number, because the mean of its divisors is an integer number (144959900400).

Almost surely, 2^{10021200000012} is an apocalyptic number.

10021200000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10021200000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13916150438400).

10021200000012 is an abundant number, since it is smaller than the sum of its proper divisors (17811100876788).

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

10021200000012 is a wasteful number, since it uses less digits than its factorization.

10021200000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245165 (or 245157 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10021200000012 its reverse (21000000212001), we get a palindrome (31021200212013).

The spelling of 10021200000012 in words is "ten trillion, twenty-one billion, two hundred million, twelve", and thus it is an aban number.