10222222201100 has 648 divisors, whose sum is σ = 29768477508000. Its totient is φ = 2972968427520.

The previous prime is 10222222201073. The next prime is 10222222201111. The reversal of 10222222201100 is 110222222201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3718522526 + ... + 3718525274.

It is an arithmetic number, because the mean of its divisors is an integer number (45939008500).

Almost surely, 2^{10222222201100} is an apocalyptic number.

10222222201100 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 10222222201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14884238754000).

10222222201100 is an abundant number, since it is smaller than the sum of its proper divisors (19546255306900).

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

10222222201100 is a wasteful number, since it uses less digits than its factorization.

10222222201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2899 (or 2836 counting only the distinct ones).

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

Adding to 10222222201100 its reverse (110222222201), we get a palindrome (10332444423301).

The spelling of 10222222201100 in words is "ten trillion, two hundred twenty-two billion, two hundred twenty-two million, two hundred one thousand, one hundred".