101222203201200 has 180 divisors, whose sum is σ = 351489137993968. Its totient is φ = 26975683929600.

The previous prime is 101222203201127. The next prime is 101222203201211. The reversal of 101222203201200 is 2102302222101.

101222203201200 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 2 + 220 + 320 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 3053956 + ... + 14552355.

Almost surely, 2^{101222203201200} is an apocalyptic number.

101222203201200 is a gapful number since it is divisible by the number (10) 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 101222203201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175744568996984).

101222203201200 is an abundant number, since it is smaller than the sum of its proper divisors (250266934792768).

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

101222203201200 is a wasteful number, since it uses less digits than its factorization.

101222203201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17607932 (or 17607918 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 101222203201200 its reverse (2102302222101), we get a palindrome (103324505423301).

The spelling of 101222203201200 in words is "one hundred one trillion, two hundred twenty-two billion, two hundred three million, two hundred one thousand, two hundred".