101321103120120 has 384 divisors, whose sum is σ = 355310340840000. Its totient is φ = 24892345073664.

The previous prime is 101321103120053. The next prime is 101321103120151. The reversal of 101321103120120 is 21021301123101.

101321103120120 is a `hidden beast` number, since 1 + 0 + 1 + 321 + 10 + 312 + 0 + 1 + 20 = 666.

101321103120120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 101321103120093 and 101321103120102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5776894311 + ... + 5776911849.

Almost surely, 2^{101321103120120} is an apocalyptic number.

101321103120120 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 101321103120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177655170420000).

101321103120120 is an abundant number, since it is smaller than the sum of its proper divisors (253989237719880).

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

101321103120120 is a wasteful number, since it uses less digits than its factorization.

101321103120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19887 (or 19880 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101321103120120 its reverse (21021301123101), we get a palindrome (122342404243221).

The spelling of 101321103120120 in words is "one hundred one trillion, three hundred twenty-one billion, one hundred three million, one hundred twenty thousand, one hundred twenty".