101222201200000 has 96 divisors (see below), whose sum is σ = 252050873649120. Its totient is φ = 40488880320000.

The previous prime is 101222201199997. The next prime is 101222201200037. The reversal of 101222201200000 is 2102222101.

It is a happy number.

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 11 ways as a sum of consecutive naturals, for example, 126127752 + ... + 126927751.

It is an arithmetic number, because the mean of its divisors is an integer number (2625529933845).

Almost surely, 2^{101222201200000} is an apocalyptic number.

101222201200000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101222201200000 is an abundant number, since it is smaller than the sum of its proper divisors (150828672449120).

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

101222201200000 is an frugal number, since it uses more digits than its factorization.

101222201200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253055542 (or 253055510 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 101222201200000 its reverse (2102222101), we get a palindrome (101224303422101).

The spelling of 101222201200000 in words is "one hundred one trillion, two hundred twenty-two billion, two hundred one million, two hundred thousand".