10212100231200 has 864 divisors, whose sum is σ = 39591960202368. Its totient is φ = 2278950912000.

The previous prime is 10212100231163. The next prime is 10212100231231. The reversal of 10212100231200 is 213200121201.

It is a super-2 number, since 2×10212100231200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10212100231200.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 982778005 + ... + 982788395.

It is an arithmetic number, because the mean of its divisors is an integer number (45824028012).

Almost surely, 2^{10212100231200} is an apocalyptic number.

10212100231200 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 10212100231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19795980101184).

10212100231200 is an abundant number, since it is smaller than the sum of its proper divisors (29379859971168).

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

10212100231200 is a wasteful number, since it uses less digits than its factorization.

10212100231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10626 (or 10606 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10212100231200 its reverse (213200121201), we get a palindrome (10425300352401).

The spelling of 10212100231200 in words is "ten trillion, two hundred twelve billion, one hundred million, two hundred thirty-one thousand, two hundred".