22101102120200 has 144 divisors (see below), whose sum is σ = 54631441427580. Its totient is φ = 8313414615040.

The previous prime is 22101102120187. The next prime is 22101102120239. The reversal of 22101102120200 is 202120110122.

It can be written as a sum of positive squares in 18 ways, for example, as 10143309796 + 22090958810404 = 100714^2 + 4700102^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 68795144 + ... + 69115656.

Almost surely, 2^{22101102120200} is an apocalyptic number.

22101102120200 is a gapful number since it is divisible by the number (20) 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 22101102120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27315720713790).

22101102120200 is an abundant number, since it is smaller than the sum of its proper divisors (32530339307380).

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

22101102120200 is a wasteful number, since it uses less digits than its factorization.

22101102120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321756 (or 321730 counting only the distinct ones).

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

Adding to 22101102120200 its reverse (202120110122), we get a palindrome (22303222230322).

The spelling of 22101102120200 in words is "twenty-two trillion, one hundred one billion, one hundred two million, one hundred twenty thousand, two hundred".