10212201001200 has 480 divisors, whose sum is σ = 37058345114112. Its totient is φ = 2382206976000.

The previous prime is 10212201001193. The next prime is 10212201001207. The reversal of 10212201001200 is 210010221201.

10212201001200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10212201001193) and next prime (10212201001207).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212201001207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39378357 + ... + 39636843.

Almost surely, 2^{10212201001200} is an apocalyptic number.

10212201001200 is a gapful number since it is divisible by the number (10) 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 10212201001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18529172557056).

10212201001200 is an abundant number, since it is smaller than the sum of its proper divisors (26846144112912).

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

10212201001200 is a wasteful number, since it uses less digits than its factorization.

10212201001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258633 (or 258622 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10212201001200 its reverse (210010221201), we get a palindrome (10422211222401).

The spelling of 10212201001200 in words is "ten trillion, two hundred twelve billion, two hundred one million, one thousand, two hundred".