10000222122100 has 72 divisors (see below), whose sum is σ = 24835930898688. Its totient is φ = 3423756336000.

The previous prime is 10000222122061. The next prime is 10000222122167. The reversal of 10000222122100 is 122122200001.

It is a happy number.

It is a super-3 number, since 3×10000222122100³ (a number of 40 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 9699052 + ... + 10680451.

It is an arithmetic number, because the mean of its divisors is an integer number (344943484704).

Almost surely, 2^{10000222122100} is an apocalyptic number.

10000222122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000222122100 is an abundant number, since it is smaller than the sum of its proper divisors (14835708776588).

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

10000222122100 is a wasteful number, since it uses less digits than its factorization.

10000222122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20380225 (or 20380218 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10000222122100 its reverse (122122200001), we get a palindrome (10122344322101).

The spelling of 10000222122100 in words is "ten trillion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred".