101223132120 has 192 divisors, whose sum is σ = 361292724000. Its totient is φ = 24374108160.

The previous prime is 101223132077. The next prime is 101223132169. The reversal of 101223132120 is 21231322101.

101223132120 is a `hidden beast` number, since 101 + 223 + 1 + 321 + 20 = 666.

It is a super-2 number, since 2×101223132120² (a number of 23 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 = 101223132093 and 101223132102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 504264 + ... + 675816.

Almost surely, 2^101223132120 is an apocalyptic number.

101223132120 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 101223132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180646362000).

101223132120 is an abundant number, since it is smaller than the sum of its proper divisors (260069591880).

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

101223132120 is a wasteful number, since it uses less digits than its factorization.

101223132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171730 (or 171723 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101223132120 its reverse (21231322101), we get a palindrome (122454454221).

It can be divided in two parts, 1012 and 23132120, that added together give a palindrome (23133132).

The spelling of 101223132120 in words is "one hundred one billion, two hundred twenty-three million, one hundred thirty-two thousand, one hundred twenty".