10012212122200 has 48 divisors (see below), whose sum is σ = 23281919549280. Its totient is φ = 4004278162560.

The previous prime is 10012212122173. The next prime is 10012212122239. The reversal of 10012212122200 is 222121221001.

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 (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2467087 + ... + 5109886.

It is an arithmetic number, because the mean of its divisors is an integer number (485039990610).

Almost surely, 2^{10012212122200} is an apocalyptic number.

10012212122200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012212122200 is an abundant number, since it is smaller than the sum of its proper divisors (13269707427080).

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

10012212122200 is a wasteful number, since it uses less digits than its factorization.

10012212122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7583596 (or 7583587 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10012212122200 its reverse (222121221001), we get a palindrome (10234333343201).

The spelling of 10012212122200 in words is "ten trillion, twelve billion, two hundred twelve million, one hundred twenty-two thousand, two hundred".