10012222222100 has 144 divisors (see below), whose sum is σ = 25343986631040. Its totient is φ = 3362467891200.

The previous prime is 10012222222063. The next prime is 10012222222133. The reversal of 10012222222100 is 122222221001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5915120 + ... + 7417080.

It is an arithmetic number, because the mean of its divisors is an integer number (175999907160).

Almost surely, 2^{10012222222100} is an apocalyptic number.

10012222222100 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 10012222222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12671993315520).

10012222222100 is an abundant number, since it is smaller than the sum of its proper divisors (15331764408940).

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

10012222222100 is a wasteful number, since it uses less digits than its factorization.

10012222222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502178 (or 1502171 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 10012222222100 its reverse (122222221001), we get a palindrome (10134444443101).

The spelling of 10012222222100 in words is "ten trillion, twelve billion, two hundred twenty-two million, two hundred twenty-two thousand, one hundred".