101222201220120 has 128 divisors (see below), whose sum is σ = 352077221721600. Its totient is φ = 25818996246912.

The previous prime is 101222201220103. The next prime is 101222201220167. The reversal of 101222201220120 is 21022102222101.

It is a happy number.

101222201220120 is a `hidden beast` number, since 1 + 0 + 1 + 222 + 201 + 220 + 1 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 101222201220093 and 101222201220102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2037459082 + ... + 2037508761.

It is an arithmetic number, because the mean of its divisors is an integer number (2750603294700).

Almost surely, 2^{101222201220120} is an apocalyptic number.

101222201220120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101222201220120 is an abundant number, since it is smaller than the sum of its proper divisors (250855020501480).

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

101222201220120 is a wasteful number, since it uses less digits than its factorization.

101222201220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4074967886 (or 4074967876 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101222201220120 its reverse (21022102222101), we get a palindrome (122244303442221).

The spelling of 101222201220120 in words is "one hundred one trillion, two hundred twenty-two billion, two hundred one million, two hundred twenty thousand, one hundred twenty".