10112200010000 has 300 divisors, whose sum is σ = 27920223980880. Its totient is φ = 3517266720000.

The previous prime is 10112200009997. The next prime is 10112200010009. The reversal of 10112200010000 is 1000221101.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 10112200010000.

It is not an unprimeable number, because it can be changed into a prime (10112200010009) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 58103111 + ... + 58276889.

Almost surely, 2^{10112200010000} is an apocalyptic number.

10112200010000 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 10112200010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13960111990440).

10112200010000 is an abundant number, since it is smaller than the sum of its proper divisors (17808023970880).

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

10112200010000 is a wasteful number, since it uses less digits than its factorization.

10112200010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173864 (or 173820 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10112200010000 its reverse (1000221101), we get a palindrome (10113200231101).

The spelling of 10112200010000 in words is "ten trillion, one hundred twelve billion, two hundred million, ten thousand".