10222110102100 has 144 divisors (see below), whose sum is σ = 24437773882368. Its totient is φ = 3687770511360.

The previous prime is 10222110102089. The next prime is 10222110102109. The reversal of 10222110102100 is 120101122201.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222110102109) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 36091237 + ... + 36373363.

It is an arithmetic number, because the mean of its divisors is an integer number (169706763072).

Almost surely, 2^{10222110102100} is an apocalyptic number.

10222110102100 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 10222110102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12218886941184).

10222110102100 is an abundant number, since it is smaller than the sum of its proper divisors (14215663780268).

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

10222110102100 is a wasteful number, since it uses less digits than its factorization.

10222110102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282794 (or 282787 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10222110102100 its reverse (120101122201), we get a palindrome (10342211224301).

The spelling of 10222110102100 in words is "ten trillion, two hundred twenty-two billion, one hundred ten million, one hundred two thousand, one hundred".