10002223220100 has 288 divisors, whose sum is σ = 30230350550400. Its totient is φ = 2551138467840.

The previous prime is 10002223220069. The next prime is 10002223220123. The reversal of 10002223220100 is 102232220001.

It is a happy number.

It is a super-2 number, since 2×10002223220100² (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 10002223220100.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 160397127 + ... + 160459473.

Almost surely, 2^{10002223220100} is an apocalyptic number.

10002223220100 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 10002223220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15115175275200).

10002223220100 is an abundant number, since it is smaller than the sum of its proper divisors (20228127330300).

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

10002223220100 is a wasteful number, since it uses less digits than its factorization.

10002223220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62647 (or 62640 counting only the distinct ones).

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

Adding to 10002223220100 its reverse (102232220001), we get a palindrome (10104455440101).

The spelling of 10002223220100 in words is "ten trillion, two billion, two hundred twenty-three million, two hundred twenty thousand, one hundred".