22102012002100 has 144 divisors (see below), whose sum is σ = 51917297080320. Its totient is φ = 8147434982400.

The previous prime is 22102012002089. The next prime is 22102012002107. The reversal of 22102012002100 is 120021020122.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22102012002107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4878789 + ... + 8246611.

It is an arithmetic number, because the mean of its divisors is an integer number (360536785280).

Almost surely, 2^{22102012002100} is an apocalyptic number.

22102012002100 is a gapful number since it is divisible by the number (20) 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 22102012002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25958648540160).

22102012002100 is an abundant number, since it is smaller than the sum of its proper divisors (29815285078220).

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

22102012002100 is a wasteful number, since it uses less digits than its factorization.

22102012002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3367970 (or 3367963 counting only the distinct ones).

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

Adding to 22102012002100 its reverse (120021020122), we get a palindrome (22222033022222).

The spelling of 22102012002100 in words is "twenty-two trillion, one hundred two billion, twelve million, two thousand, one hundred".