101222012200120 has 32 divisors (see below), whose sum is σ = 260285174229600. Its totient is φ = 34704689897088.

The previous prime is 101222012200069. The next prime is 101222012200121. The reversal of 101222012200120 is 21002210222101.

It is a happy number.

101222012200120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 101222012200094 and 101222012200103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101222012200121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180753592935 + ... + 180753593494.

It is an arithmetic number, because the mean of its divisors is an integer number (8133911694675).

Almost surely, 2^{101222012200120} is an apocalyptic number.

101222012200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101222012200120 is an abundant number, since it is smaller than the sum of its proper divisors (159063162029480).

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

101222012200120 is a wasteful number, since it uses less digits than its factorization.

101222012200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361507186447 (or 361507186443 counting only the distinct ones).

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

Adding to 101222012200120 its reverse (21002210222101), we get a palindrome (122224222422221).

It can be divided in two parts, 10122201 and 2200120, that added together give a palindrome (12322321).

The spelling of 101222012200120 in words is "one hundred one trillion, two hundred twenty-two billion, twelve million, two hundred thousand, one hundred twenty".