101213121111120 has 240 divisors, whose sum is σ = 349181660860032. Its totient is φ = 26254113776640.

The previous prime is 101213121111097. The next prime is 101213121111121. The reversal of 101213121111120 is 21111121312101.

101213121111120 is a `hidden beast` number, since 1 + 0 + 121 + 312 + 1 + 111 + 120 = 666.

101213121111120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 101213121111093 and 101213121111102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101213121111121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106165365 + ... + 107114475.

Almost surely, 2^{101213121111120} is an apocalyptic number.

101213121111120 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 101213121111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174590830430016).

101213121111120 is an abundant number, since it is smaller than the sum of its proper divisors (247968539748912).

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

101213121111120 is a wasteful number, since it uses less digits than its factorization.

101213121111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953170 (or 953161 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 18.

Adding to 101213121111120 its reverse (21111121312101), we get a palindrome (122324242423221).

The spelling of 101213121111120 in words is "one hundred one trillion, two hundred thirteen billion, one hundred twenty-one million, one hundred eleven thousand, one hundred twenty".