101110122112120 has 128 divisors (see below), whose sum is σ = 254430759502080. Its totient is φ = 35842586752000.

The previous prime is 101110122112057. The next prime is 101110122112157. The reversal of 101110122112120 is 21211221011101.

It is a junction number, because it is equal to n+sod(n) for n = 101110122112094 and 101110122112103.

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, 20961075 + ... + 25329565.

It is an arithmetic number, because the mean of its divisors is an integer number (1987740308610).

Almost surely, 2^{101110122112120} is an apocalyptic number.

101110122112120 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 101110122112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127215379751040).

101110122112120 is an abundant number, since it is smaller than the sum of its proper divisors (153320637389960).

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

101110122112120 is a wasteful number, since it uses less digits than its factorization.

101110122112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4369837 (or 4369833 counting only the distinct ones).

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

Adding to 101110122112120 its reverse (21211221011101), we get a palindrome (122321343123221).

The spelling of 101110122112120 in words is "one hundred one trillion, one hundred ten billion, one hundred twenty-two million, one hundred twelve thousand, one hundred twenty".