10222022112100 has 36 divisors (see below), whose sum is σ = 22185037640500. Its totient is φ = 4088209829760.

The previous prime is 10222022112083. The next prime is 10222022112109. The reversal of 10222022112100 is 121122022201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1690353618496 + 8531668493604 = 1300136^2 + 2920902^2 .

It is a super-2 number, since 2×10222022112100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10222022112109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6801375 + ... + 8167174.

Almost surely, 2^{10222022112100} is an apocalyptic number.

10222022112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222022112100 is an abundant number, since it is smaller than the sum of its proper divisors (11963015528400).

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

10222022112100 is a wasteful number, since it uses less digits than its factorization.

10222022112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14975392 (or 14975385 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10222022112100 its reverse (121122022201), we get a palindrome (10343144134301).

It can be divided in two parts, 102220221 and 12100, that added together give a square (102232321 = 10111²).

The spelling of 10222022112100 in words is "ten trillion, two hundred twenty-two billion, twenty-two million, one hundred twelve thousand, one hundred".