101201112222120 has 768 divisors, whose sum is σ = 360552930912000. Its totient is φ = 25242948864000.

The previous prime is 101201112222073. The next prime is 101201112222137. The reversal of 101201112222120 is 21222211102101.

101201112222120 is a `hidden beast` number, since 1 + 0 + 120 + 111 + 222 + 212 + 0 = 666.

It is a super-2 number, since 2×101201112222120² (a number of 29 digits) contains 22 as substring.

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 = 101201112222093 and 101201112222102.

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 191 ways as a sum of consecutive naturals, for example, 14924213130 + ... + 14924219910.

It is an arithmetic number, because the mean of its divisors is an integer number (469469962125).

Almost surely, 2^{101201112222120} is an apocalyptic number.

101201112222120 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 101201112222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180276465456000).

101201112222120 is an abundant number, since it is smaller than the sum of its proper divisors (259351818689880).

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

101201112222120 is a wasteful number, since it uses less digits than its factorization.

101201112222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7319 (or 7290 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101201112222120 its reverse (21222211102101), we get a palindrome (122423323324221).

The spelling of 101201112222120 in words is "one hundred one trillion, two hundred one billion, one hundred twelve million, two hundred twenty-two thousand, one hundred twenty".