10000210111200 has 432 divisors, whose sum is σ = 37722517166880. Its totient is φ = 2483978895360.

The previous prime is 10000210111181. The next prime is 10000210111219. The reversal of 10000210111200 is 211101200001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10000210111181) and next prime (10000210111219).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11451661 + ... + 12293939.

It is an arithmetic number, because the mean of its divisors is an integer number (87320641590).

Almost surely, 2^{10000210111200} is an apocalyptic number.

10000210111200 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 10000210111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18861258583440).

10000210111200 is an abundant number, since it is smaller than the sum of its proper divisors (27722307055680).

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

10000210111200 is a wasteful number, since it uses less digits than its factorization.

10000210111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842419 (or 842403 counting only the distinct ones).

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

Adding to 10000210111200 its reverse (211101200001), we get a palindrome (10211311311201).

The spelling of 10000210111200 in words is "ten trillion, two hundred ten million, one hundred eleven thousand, two hundred".