1021200010012 has 288 divisors, whose sum is σ = 2361950502912. Its totient is φ = 376104218112.

The previous prime is 1021200010003. The next prime is 1021200010087. The reversal of 1021200010012 is 2100100021201.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 2666318373 + ... + 2666318755.

It is an arithmetic number, because the mean of its divisors is an integer number (8201217024).

Almost surely, 2^{1021200010012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021200010012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180975251456).

1021200010012 is an abundant number, since it is smaller than the sum of its proper divisors (1340750492900).

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

1021200010012 is a wasteful number, since it uses less digits than its factorization.

1021200010012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1021200010012 its reverse (2100100021201), we get a palindrome (3121300031213).

The spelling of 1021200010012 in words is "one trillion, twenty-one billion, two hundred million, ten thousand, twelve".