101120110020120 has 128 divisors (see below), whose sum is σ = 306913943125440. Its totient is φ = 26650444646400.

The previous prime is 101120110020119. The next prime is 101120110020151. The reversal of 101120110020120 is 21020011021101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101120110020096 and 101120110020105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 738607 + ... + 14240286.

Almost surely, 2^{101120110020120} is an apocalyptic number.

101120110020120 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 101120110020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153456971562720).

101120110020120 is an abundant number, since it is smaller than the sum of its proper divisors (205793833105320).

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

101120110020120 is a wasteful number, since it uses less digits than its factorization.

101120110020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14979565 (or 14979561 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101120110020120 its reverse (21020011021101), we get a palindrome (122140121041221).

The spelling of 101120110020120 in words is "one hundred one trillion, one hundred twenty billion, one hundred ten million, twenty thousand, one hundred twenty".