22102220101200 has 120 divisors (see below), whose sum is σ = 70805049662976. Its totient is φ = 5893569792000.

The previous prime is 22102220101193. The next prime is 22102220101277. The reversal of 22102220101200 is 210102220122.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22102220101200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19650040 + ... + 20744360.

Almost surely, 2^{22102220101200} is an apocalyptic number.

22102220101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22102220101200 is an abundant number, since it is smaller than the sum of its proper divisors (48702829561776).

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

22102220101200 is a wasteful number, since it uses less digits than its factorization.

22102220101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111173 (or 1111162 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22102220101200 its reverse (210102220122), we get a palindrome (22312322321322).

The spelling of 22102220101200 in words is "twenty-two trillion, one hundred two billion, two hundred twenty million, one hundred one thousand, two hundred".