10042213200 has 120 divisors (see below), whose sum is σ = 32209152768. Its totient is φ = 2674544640.

The previous prime is 10042213199. The next prime is 10042213211. The reversal of 10042213200 is 231224001.

It is a tau number, because it is divible by the number of its divisors (120).

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 10042213200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1030752 + ... + 1040448.

Almost surely, 2^10042213200 is an apocalyptic number.

10042213200 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 10042213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16104576384).

10042213200 is an abundant number, since it is smaller than the sum of its proper divisors (22166939568).

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

10042213200 is a wasteful number, since it uses less digits than its factorization.

10042213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10581 (or 10570 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10042213200 its reverse (231224001), we get a palindrome (10273437201).

The spelling of 10042213200 in words is "ten billion, forty-two million, two hundred thirteen thousand, two hundred".