101101222111120 has 640 divisors, whose sum is σ = 305847533076480. Its totient is φ = 30160373760000.

The previous prime is 101101222111103. The next prime is 101101222111177. The reversal of 101101222111120 is 21111222101101.

It is a super-2 number, since 2×101101222111120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 101101222111094 and 101101222111103.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21774975519 + ... + 21774980161.

It is an arithmetic number, because the mean of its divisors is an integer number (477886770432).

Almost surely, 2^{101101222111120} is an apocalyptic number.

101101222111120 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 101101222111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152923766538240).

101101222111120 is an abundant number, since it is smaller than the sum of its proper divisors (204746310965360).

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

101101222111120 is a wasteful number, since it uses less digits than its factorization.

101101222111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5935 (or 5929 counting only the distinct ones).

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

Adding to 101101222111120 its reverse (21111222101101), we get a palindrome (122212444212221).

It can be divided in two parts, 1011012 and 22111120, that added together give a palindrome (23122132).

The spelling of 101101222111120 in words is "one hundred one trillion, one hundred one billion, two hundred twenty-two million, one hundred eleven thousand, one hundred twenty".