10002220111200 has 144 divisors (see below), whose sum is σ = 32752181226240. Its totient is φ = 2651286981120.

The previous prime is 10002220111139. The next prime is 10002220111207. The reversal of 10002220111200 is 211102220001.

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 (10002220111207) 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 23 ways as a sum of consecutive naturals, for example, 12077020 + ... + 12878619.

It is an arithmetic number, because the mean of its divisors is an integer number (227445702960).

Almost surely, 2^{10002220111200} is an apocalyptic number.

10002220111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002220111200 is an abundant number, since it is smaller than the sum of its proper divisors (22749961115040).

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

10002220111200 is a wasteful number, since it uses less digits than its factorization.

10002220111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24955829 (or 24955816 counting only the distinct ones).

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

Adding to 10002220111200 its reverse (211102220001), we get a palindrome (10213322331201).

The spelling of 10002220111200 in words is "ten trillion, two billion, two hundred twenty million, one hundred eleven thousand, two hundred".