202222122100100 has 36 divisors (see below), whose sum is σ = 440570299852368. Its totient is φ = 80566582500000.

The previous prime is 202222122100091. The next prime is 202222122100109. The reversal of 202222122100100 is 1001221222202.

It is a happy number.

202222122100100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (202222122100091) and next prime (202222122100109).

It is not an unprimeable number, because it can be changed into a prime (202222122100109) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4028304026 + ... + 4028354225.

It is an arithmetic number, because the mean of its divisors is an integer number (12238063884788).

Almost surely, 2^{202222122100100} is an apocalyptic number.

202222122100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202222122100100 is an abundant number, since it is smaller than the sum of its proper divisors (238348177752268).

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

202222122100100 is a wasteful number, since it uses less digits than its factorization.

202222122100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8056658516 (or 8056658509 counting only the distinct ones).

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

Adding to 202222122100100 its reverse (1001221222202), we get a palindrome (203223343322302).

The spelling of 202222122100100 in words is "two hundred two trillion, two hundred twenty-two billion, one hundred twenty-two million, one hundred thousand, one hundred".