10222112002100 has 36 divisors (see below), whose sum is σ = 22207866524844. Its totient is φ = 4084073652480.

The previous prime is 10222112002079. The next prime is 10222112002117. The reversal of 10222112002100 is 120021122201.

It can be written as a sum of positive squares in 6 ways, for example, as 7657650064 + 10214454352036 = 87508^2 + 3196006^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59553227 + ... + 59724626.

Almost surely, 2^{10222112002100} is an apocalyptic number.

10222112002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222112002100 is an abundant number, since it is smaller than the sum of its proper divisors (11985754522744).

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

10222112002100 is a wasteful number, since it uses less digits than its factorization.

10222112002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119278724 (or 119278717 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10222112002100 its reverse (120021122201), we get a palindrome (10342133124301).

The spelling of 10222112002100 in words is "ten trillion, two hundred twenty-two billion, one hundred twelve million, two thousand, one hundred".